[{"type":"book_chapter","publication":"Equadiff 99","status":"public","_id":"16553","user_id":"15701","department":[{"_id":"101"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["9789810243593","9789812792617"]},"year":"2000","citation":{"ama":"Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In: <i>Equadiff 99</i>. ; 2000. doi:<a href=\"https://doi.org/10.1142/9789812792617_0199\">10.1142/9789812792617_0199</a>","ieee":"M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator,” in <i>Equadiff 99</i>, 2000.","chicago":"Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In <i>Equadiff 99</i>, 2000. <a href=\"https://doi.org/10.1142/9789812792617_0199\">https://doi.org/10.1142/9789812792617_0199</a>.","apa":"Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In <i>Equadiff 99</i>. <a href=\"https://doi.org/10.1142/9789812792617_0199\">https://doi.org/10.1142/9789812792617_0199</a>","short":"M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.","mla":"Dellnitz, Michael, et al. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” <i>Equadiff 99</i>, 2000, doi:<a href=\"https://doi.org/10.1142/9789812792617_0199\">10.1142/9789812792617_0199</a>.","bibtex":"@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={<a href=\"https://doi.org/10.1142/9789812792617_0199\">10.1142/9789812792617_0199</a>}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000} }"},"date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-15T09:08:34Z","author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Gary","last_name":"Froyland","full_name":"Froyland, Gary"},{"last_name":"Sertl","full_name":"Sertl, Stefan","first_name":"Stefan"}],"title":"A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator","doi":"10.1142/9789812792617_0199"},{"publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"citation":{"bibtex":"@article{Dellnitz_Froyland_Sertl_2000, title={On the isolated spectrum of the Perron-Frobenius operator}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/13/4/310\">10.1088/0951-7715/13/4/310</a>}, journal={Nonlinearity}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000}, pages={1171–1188} }","short":"M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.","mla":"Dellnitz, Michael, et al. “On the Isolated Spectrum of the Perron-Frobenius Operator.” <i>Nonlinearity</i>, 2000, pp. 1171–88, doi:<a href=\"https://doi.org/10.1088/0951-7715/13/4/310\">10.1088/0951-7715/13/4/310</a>.","apa":"Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). On the isolated spectrum of the Perron-Frobenius operator. <i>Nonlinearity</i>, 1171–1188. <a href=\"https://doi.org/10.1088/0951-7715/13/4/310\">https://doi.org/10.1088/0951-7715/13/4/310</a>","chicago":"Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum of the Perron-Frobenius Operator.” <i>Nonlinearity</i>, 2000, 1171–88. <a href=\"https://doi.org/10.1088/0951-7715/13/4/310\">https://doi.org/10.1088/0951-7715/13/4/310</a>.","ieee":"M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius operator,” <i>Nonlinearity</i>, pp. 1171–1188, 2000.","ama":"Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius operator. <i>Nonlinearity</i>. 2000:1171-1188. doi:<a href=\"https://doi.org/10.1088/0951-7715/13/4/310\">10.1088/0951-7715/13/4/310</a>"},"page":"1171-1188","year":"2000","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Froyland, Gary","last_name":"Froyland","first_name":"Gary"},{"full_name":"Sertl, Stefan","last_name":"Sertl","first_name":"Stefan"}],"date_created":"2020-04-15T09:09:46Z","date_updated":"2022-01-06T06:52:52Z","doi":"10.1088/0951-7715/13/4/310","title":"On the isolated spectrum of the Perron-Frobenius operator","type":"journal_article","publication":"Nonlinearity","status":"public","user_id":"15701","department":[{"_id":"101"}],"_id":"16554","language":[{"iso":"eng"}]},{"doi":"10.1142/9789812792617_0178","title":"Rigorous discretization of subdivision techniques","date_created":"2020-04-16T08:07:52Z","author":[{"first_name":"Oliver","full_name":"Junge, Oliver","last_name":"Junge"}],"date_updated":"2022-01-06T06:52:53Z","citation":{"apa":"Junge, O. (2000). Rigorous discretization of subdivision techniques. In <i>Equadiff 99</i>. <a href=\"https://doi.org/10.1142/9789812792617_0178\">https://doi.org/10.1142/9789812792617_0178</a>","bibtex":"@inbook{Junge_2000, title={Rigorous discretization of subdivision techniques}, DOI={<a href=\"https://doi.org/10.1142/9789812792617_0178\">10.1142/9789812792617_0178</a>}, booktitle={Equadiff 99}, author={Junge, Oliver}, year={2000} }","mla":"Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” <i>Equadiff 99</i>, 2000, doi:<a href=\"https://doi.org/10.1142/9789812792617_0178\">10.1142/9789812792617_0178</a>.","short":"O. Junge, in: Equadiff 99, 2000.","chicago":"Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In <i>Equadiff 99</i>, 2000. <a href=\"https://doi.org/10.1142/9789812792617_0178\">https://doi.org/10.1142/9789812792617_0178</a>.","ieee":"O. Junge, “Rigorous discretization of subdivision techniques,” in <i>Equadiff 99</i>, 2000.","ama":"Junge O. Rigorous discretization of subdivision techniques. In: <i>Equadiff 99</i>. ; 2000. doi:<a href=\"https://doi.org/10.1142/9789812792617_0178\">10.1142/9789812792617_0178</a>"},"year":"2000","publication_status":"published","publication_identifier":{"isbn":["9789810243593","9789812792617"]},"language":[{"iso":"eng"}],"user_id":"15701","department":[{"_id":"101"}],"_id":"16616","status":"public","type":"book_chapter","publication":"Equadiff 99"},{"citation":{"ama":"Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In: <i>Equadiff 99</i>. ; 2000:1053--1059. doi:<a href=\"https://doi.org/10.1142/9789812792617_0204\">10.1142/9789812792617_0204</a>","chicago":"Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” In <i>Equadiff 99</i>, 1053--1059, 2000. <a href=\"https://doi.org/10.1142/9789812792617_0204\">https://doi.org/10.1142/9789812792617_0204</a>.","ieee":"M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, “The computation of an unstable invariant set inside a cylinder containing a knotted flow,” in <i>Equadiff 99</i>, 2000, pp. 1053--1059.","apa":"Dellnitz, M., Junge, O., Rumpf, M., &#38; Strzodka, R. (2000). The computation of an unstable invariant set inside a cylinder containing a knotted flow. In <i>Equadiff 99</i> (pp. 1053--1059). <a href=\"https://doi.org/10.1142/9789812792617_0204\">https://doi.org/10.1142/9789812792617_0204</a>","short":"M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.","bibtex":"@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an unstable invariant set inside a cylinder containing a knotted flow}, DOI={<a href=\"https://doi.org/10.1142/9789812792617_0204\">10.1142/9789812792617_0204</a>}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }","mla":"Dellnitz, Michael, et al. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” <i>Equadiff 99</i>, 2000, pp. 1053--1059, doi:<a href=\"https://doi.org/10.1142/9789812792617_0204\">10.1142/9789812792617_0204</a>."},"page":"1053--1059","year":"2000","publication_status":"published","publication_identifier":{"isbn":["9789810243593","9789812792617"]},"doi":"10.1142/9789812792617_0204","title":"The computation of an unstable invariant set inside a cylinder containing a knotted flow","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"last_name":"Rumpf","full_name":"Rumpf, Martin","first_name":"Martin"},{"last_name":"Strzodka","full_name":"Strzodka, Robert","first_name":"Robert"}],"date_created":"2020-05-19T09:13:56Z","date_updated":"2022-01-06T06:53:02Z","status":"public","type":"book_chapter","publication":"Equadiff 99","language":[{"iso":"eng"}],"user_id":"32643","department":[{"_id":"101"}],"_id":"17018"},{"publisher":"Elsevier BV","date_created":"2022-12-23T09:58:16Z","title":"Galois Group Computation for Rational Polynomials","issue":"6","year":"2000","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method."}],"date_updated":"2023-03-06T09:58:06Z","volume":30,"author":[{"last_name":"Geissler","full_name":"Geissler, Katharina","first_name":"Katharina"},{"full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners","first_name":"Jürgen"}],"doi":"10.1006/jsco.2000.0377","publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","page":"653-674","intvolume":"        30","citation":{"chicago":"Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 653–74. <a href=\"https://doi.org/10.1006/jsco.2000.0377\">https://doi.org/10.1006/jsco.2000.0377</a>.","ieee":"K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>.","ama":"Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>","apa":"Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a href=\"https://doi.org/10.1006/jsco.2000.0377\">https://doi.org/10.1006/jsco.2000.0377</a>","short":"K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.","mla":"Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 653–74, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>.","bibtex":"@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational Polynomials}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674} }"},"_id":"34900","department":[{"_id":"102"}],"user_id":"93826","type":"journal_article","status":"public"},{"department":[{"_id":"102"}],"user_id":"93826","_id":"34901","type":"journal_article","status":"public","volume":30,"author":[{"first_name":"Vincenzo","last_name":"Acciaro","full_name":"Acciaro, Vincenzo"},{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"date_updated":"2023-03-06T09:57:34Z","doi":"10.1006/jsco.2000.0361","publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","page":"239-252","intvolume":"        30","citation":{"bibtex":"@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability of Norm Equations}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }","short":"V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.","mla":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","apa":"Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>","ieee":"V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","chicago":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no. 3 (2000): 239–52. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>.","ama":"Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>"},"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"publication":"Journal of Symbolic Computation","abstract":[{"text":"Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.","lang":"eng"}],"date_created":"2022-12-23T09:58:48Z","publisher":"Elsevier BV","title":"Computing Local Artin Maps, and Solvability of Norm Equations","issue":"3","year":"2000"},{"date_updated":"2023-03-06T10:48:05Z","author":[{"first_name":"Jürgen","last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen"},{"first_name":"Gunter","full_name":"Malle, Gunter","last_name":"Malle"}],"volume":30,"doi":"10.1006/jsco.2000.0378","publication_status":"published","publication_identifier":{"issn":["0747-7171"]},"citation":{"apa":"Klüners, J., &#38; Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 675–716. <a href=\"https://doi.org/10.1006/jsco.2000.0378\">https://doi.org/10.1006/jsco.2000.0378</a>","bibtex":"@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive Groups of Degree up to 15}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }","short":"J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.","mla":"Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 675–716, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>.","ama":"Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>. 2000;30(6):675-716. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>","chicago":"Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 675–716. <a href=\"https://doi.org/10.1006/jsco.2000.0378\">https://doi.org/10.1006/jsco.2000.0378</a>.","ieee":"J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups of Degree up to 15,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 675–716, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>."},"intvolume":"        30","page":"675-716","_id":"34899","user_id":"93826","department":[{"_id":"102"}],"type":"journal_article","status":"public","publisher":"Elsevier BV","date_created":"2022-12-23T09:57:28Z","title":"Explicit Galois Realization of Transitive Groups of Degree up to 15","issue":"6","year":"2000","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"publication":"Journal of Symbolic Computation","abstract":[{"text":"We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.","lang":"eng"}]},{"status":"public","type":"journal_article","_id":"34898","department":[{"_id":"102"}],"user_id":"93826","intvolume":"        30","page":"733-737","citation":{"apa":"Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 733–737. <a href=\"https://doi.org/10.1006/jsco.2000.0380\">https://doi.org/10.1006/jsco.2000.0380</a>","short":"J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.","bibtex":"@article{Klüners_2000, title={A Polynomial with Galois GroupSL2(11)}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={2000}, pages={733–737} }","mla":"Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>.","chicago":"Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 733–37. <a href=\"https://doi.org/10.1006/jsco.2000.0380\">https://doi.org/10.1006/jsco.2000.0380</a>.","ieee":"J. Klüners, “A Polynomial with Galois GroupSL2(11),” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 733–737, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>.","ama":"Klüners J. A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>. 2000;30(6):733-737. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>"},"publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","doi":"10.1006/jsco.2000.0380","date_updated":"2023-03-06T10:48:40Z","volume":30,"author":[{"first_name":"Jürgen","id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners"}],"abstract":[{"lang":"eng","text":"We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove that SL₂(11) is the Galois group of a regular extension of ℚ (t)."}],"publication":"Journal of Symbolic Computation","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"year":"2000","issue":"6","title":"A Polynomial with Galois GroupSL2(11)","publisher":"Elsevier BV","date_created":"2022-12-23T09:56:52Z"},{"publication":"Computer Methods in Applied Mechanics and Engineering","type":"journal_article","status":"public","_id":"16511","department":[{"_id":"101"}],"user_id":"15701","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0045-7825"]},"publication_status":"published","year":"1999","page":"223-237","citation":{"ieee":"P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial integration with application to blowout bifurcations,” <i>Computer Methods in Applied Mechanics and Engineering</i>, pp. 223–237, 1999.","chicago":"Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer Methods in Applied Mechanics and Engineering</i>, 1999, 223–37. <a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">https://doi.org/10.1016/s0045-7825(98)00196-0</a>.","ama":"Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics and Engineering</i>. 1999:223-237. doi:<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>","apa":"Aston, P. J., &#38; Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics and Engineering</i>, 223–237. <a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">https://doi.org/10.1016/s0045-7825(98)00196-0</a>","mla":"Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer Methods in Applied Mechanics and Engineering</i>, 1999, pp. 223–37, doi:<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>.","bibtex":"@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}, DOI={<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston, Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }","short":"P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237."},"date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-15T07:27:08Z","author":[{"first_name":"Philip J.","full_name":"Aston, Philip J.","last_name":"Aston"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"title":"The computation of lyapunov exponents via spatial integration with application to blowout bifurcations","doi":"10.1016/s0045-7825(98)00196-0"},{"year":"1999","citation":{"short":"M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.","bibtex":"@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated Dynamical Behavior}, DOI={<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>}, journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge, Oliver}, year={1999}, pages={491–515} }","mla":"Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, pp. 491–515, doi:<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>.","apa":"Dellnitz, M., &#38; Junge, O. (1999). On the Approximation of Complicated Dynamical Behavior. <i>SIAM Journal on Numerical Analysis</i>, 491–515. <a href=\"https://doi.org/10.1137/s0036142996313002\">https://doi.org/10.1137/s0036142996313002</a>","ieee":"M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” <i>SIAM Journal on Numerical Analysis</i>, pp. 491–515, 1999.","chicago":"Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, 491–515. <a href=\"https://doi.org/10.1137/s0036142996313002\">https://doi.org/10.1137/s0036142996313002</a>.","ama":"Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior. <i>SIAM Journal on Numerical Analysis</i>. 1999:491-515. doi:<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>"},"page":"491-515","publication_status":"published","publication_identifier":{"issn":["0036-1429","1095-7170"]},"title":"On the Approximation of Complicated Dynamical Behavior","doi":"10.1137/s0036142996313002","date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-15T08:35:45Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"}],"status":"public","type":"journal_article","publication":"SIAM Journal on Numerical Analysis","language":[{"iso":"eng"}],"_id":"16537","user_id":"15701","department":[{"_id":"101"}]},{"language":[{"iso":"eng"}],"_id":"16584","department":[{"_id":"101"}],"user_id":"15701","status":"public","publication":"Computational Molecular Dynamics: Challenges, Methods, Ideas","type":"book_chapter","title":"Computation of Essential Molecular Dynamics by Subdivision Techniques","doi":"10.1007/978-3-642-58360-5_5","date_updated":"2022-01-06T06:52:52Z","author":[{"first_name":"Peter","full_name":"Deuflhard, Peter","last_name":"Deuflhard"},{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"full_name":"Schütte, Christof","last_name":"Schütte","first_name":"Christof"}],"date_created":"2020-04-16T05:43:16Z","year":"1999","place":"Berlin, Heidelberg","citation":{"mla":"Deuflhard, Peter, et al. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>, 1999, doi:<a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">10.1007/978-3-642-58360-5_5</a>.","bibtex":"@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg}, title={Computation of Essential Molecular Dynamics by Subdivision Techniques}, DOI={<a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">10.1007/978-3-642-58360-5_5</a>}, booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard, Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999} }","short":"P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.","apa":"Deuflhard, P., Dellnitz, M., Junge, O., &#38; Schütte, C. (1999). Computation of Essential Molecular Dynamics by Subdivision Techniques. In <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">https://doi.org/10.1007/978-3-642-58360-5_5</a>","ieee":"P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential Molecular Dynamics by Subdivision Techniques,” in <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>, Berlin, Heidelberg, 1999.","chicago":"Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg, 1999. <a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">https://doi.org/10.1007/978-3-642-58360-5_5</a>.","ama":"Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular Dynamics by Subdivision Techniques. In: <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg; 1999. doi:<a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">10.1007/978-3-642-58360-5_5</a>"},"publication_identifier":{"isbn":["9783540632429","9783642583605"],"issn":["1439-7358"]},"publication_status":"published"},{"date_updated":"2022-01-06T06:53:02Z","date_created":"2020-05-19T09:12:53Z","author":[{"full_name":"Bürkle, David","last_name":"Bürkle","first_name":"David"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"full_name":"Rumpf, Martin","last_name":"Rumpf","first_name":"Martin"},{"full_name":"Spielberg, Michael","last_name":"Spielberg","first_name":"Michael"}],"title":"Visualizing Complicated Dynamics","year":"1999","citation":{"apa":"Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., &#38; Spielberg, M. (1999). Visualizing Complicated Dynamics. <i>Proceedings of Visualization 99</i>.","bibtex":"@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle, David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg, Michael}, year={1999} }","mla":"Bürkle, David, et al. “Visualizing Complicated Dynamics.” <i>Proceedings of Visualization 99</i>, 1999.","short":"D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of Visualization 99 (1999).","ieee":"D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, “Visualizing Complicated Dynamics,” <i>Proceedings of Visualization 99</i>, 1999.","chicago":"Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael Spielberg. “Visualizing Complicated Dynamics.” <i>Proceedings of Visualization 99</i>, 1999.","ama":"Bürkle D, Dellnitz M, Junge O, Rumpf M, Spielberg M. Visualizing Complicated Dynamics. <i>Proceedings of Visualization 99</i>. 1999."},"_id":"17017","user_id":"32643","department":[{"_id":"101"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Proceedings of Visualization 99","status":"public"},{"issue":"3","year":"1999","date_created":"2022-12-23T10:01:15Z","publisher":"Elsevier BV","title":"On Polynomial Decompositions","publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate decomposition of irreducible monic polynomials in one variable over the rationals. With these decompositions it is possible to calculate the roots of an imprimitive polynomial by solving polynomial equations of lower degree."}],"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","page":"261-269","intvolume":"        27","citation":{"mla":"Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i>, vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>.","bibtex":"@article{Klüners_1999, title={On Polynomial Decompositions}, volume={27}, DOI={<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={1999}, pages={261–269} }","short":"J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.","apa":"Klüners, J. (1999). On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>, <i>27</i>(3), 261–269. <a href=\"https://doi.org/10.1006/jsco.1998.0252\">https://doi.org/10.1006/jsco.1998.0252</a>","ama":"Klüners J. On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>. 1999;27(3):261-269. doi:<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>","ieee":"J. Klüners, “On Polynomial Decompositions,” <i>Journal of Symbolic Computation</i>, vol. 27, no. 3, pp. 261–269, 1999, doi: <a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>.","chicago":"Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i> 27, no. 3 (1999): 261–69. <a href=\"https://doi.org/10.1006/jsco.1998.0252\">https://doi.org/10.1006/jsco.1998.0252</a>."},"volume":27,"author":[{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"}],"date_updated":"2023-03-06T09:21:29Z","doi":"10.1006/jsco.1998.0252","type":"journal_article","status":"public","department":[{"_id":"102"}],"user_id":"93826","_id":"34902"},{"date_updated":"2023-03-06T10:28:52Z","volume":68,"author":[{"full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners","first_name":"Jürgen"},{"first_name":"Vincenzo","last_name":"Acciaro","full_name":"Acciaro, Vincenzo"}],"page":"1179-1186","intvolume":"        68","citation":{"apa":"Klüners, J., &#38; Acciaro, V. (1999). Computing Automorphisms of Abelian Number Fields. <i>Mathematics of Computation</i>, <i>68</i>(227), 1179–1186.","mla":"Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” <i>Mathematics of Computation</i>, vol. 68, no. 227, American Mathematical Society (AMS), 1999, pp. 1179–86.","bibtex":"@article{Klüners_Acciaro_1999, title={Computing Automorphisms of Abelian Number Fields}, volume={68}, number={227}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Acciaro, Vincenzo}, year={1999}, pages={1179–1186} }","short":"J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.","chicago":"Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” <i>Mathematics of Computation</i> 68, no. 227 (1999): 1179–86.","ieee":"J. Klüners and V. Acciaro, “Computing Automorphisms of Abelian Number Fields,” <i>Mathematics of Computation</i>, vol. 68, no. 227, pp. 1179–1186, 1999.","ama":"Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. <i>Mathematics of Computation</i>. 1999;68(227):1179-1186."},"publication_identifier":{"issn":["1088-6842","0025-5718"]},"publication_status":"published","related_material":{"link":[{"url":"https://www.ams.org/journals/mcom/1999-68-227/S0025-5718-99-01084-4/S0025-5718-99-01084-4.pdf","relation":"confirmation"}]},"_id":"35941","department":[{"_id":"102"}],"user_id":"93826","status":"public","type":"journal_article","title":"Computing Automorphisms of Abelian Number Fields","publisher":"American Mathematical Society (AMS)","date_created":"2023-01-11T09:31:21Z","year":"1999","issue":"227","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Let L = ℚ(α) be an abelian number field of degree n. Most\r\nalgorithms for computing the lattice of subfields of L require the computation\r\nof all the conjugates of α. This is usually achieved by factoring the minimal\r\npolynomial mα(x) of α over L. In practice, the existing algorithms for factoring\r\npolynomials over algebraic number fields can handle only problems of moderate\r\nsize. In this paper we describe a fast probabilistic algorithm for computing\r\nthe conjugates of α, which is based on p-adic techniques. Given mα(x) and a\r\nrational prime p which does not divide the discriminant disc(mα(x)) of mα(x),\r\nthe algorithm computes the Frobenius automorphism of p in time polynomial\r\nin the size of p and in the size of mα(x). By repeatedly applying the algorithm\r\nto randomly chosen primes it is possible to compute all the conjugates of α."}],"publication":"Mathematics of Computation"},{"publication_status":"published","publication_identifier":{"issn":["1432-9360","1433-0369"]},"citation":{"ieee":"M. Dellnitz and O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures,” <i>Computing and Visualization in Science</i>, pp. 63–68, 1998.","chicago":"Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” <i>Computing and Visualization in Science</i>, 1998, 63–68. <a href=\"https://doi.org/10.1007/s007910050006\">https://doi.org/10.1007/s007910050006</a>.","ama":"Dellnitz M, Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures. <i>Computing and Visualization in Science</i>. 1998:63-68. doi:<a href=\"https://doi.org/10.1007/s007910050006\">10.1007/s007910050006</a>","apa":"Dellnitz, M., &#38; Junge, O. (1998). An adaptive subdivision technique for the approximation of attractors and invariant measures. <i>Computing and Visualization in Science</i>, 63–68. <a href=\"https://doi.org/10.1007/s007910050006\">https://doi.org/10.1007/s007910050006</a>","bibtex":"@article{Dellnitz_Junge_1998, title={An adaptive subdivision technique for the approximation of attractors and invariant measures}, DOI={<a href=\"https://doi.org/10.1007/s007910050006\">10.1007/s007910050006</a>}, journal={Computing and Visualization in Science}, author={Dellnitz, Michael and Junge, Oliver}, year={1998}, pages={63–68} }","short":"M. Dellnitz, O. Junge, Computing and Visualization in Science (1998) 63–68.","mla":"Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” <i>Computing and Visualization in Science</i>, 1998, pp. 63–68, doi:<a href=\"https://doi.org/10.1007/s007910050006\">10.1007/s007910050006</a>."},"page":"63-68","year":"1998","date_created":"2020-04-15T08:33:03Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.1007/s007910050006","title":"An adaptive subdivision technique for the approximation of attractors and invariant measures","type":"journal_article","publication":"Computing and Visualization in Science","status":"public","user_id":"15701","department":[{"_id":"101"}],"_id":"16536","language":[{"iso":"eng"}]},{"publication":"International Journal of Bifurcation and Chaos","type":"journal_article","status":"public","abstract":[{"text":"<jats:p> Recently multilevel subdivision techniques have been introduced in the numerical investigation of complicated dynamical behavior. We illustrate the applicability and efficiency of these methods by a detailed numerical study of Chua's circuit. In particular we will show that there exist two regions in phase space which are almost invariant in the sense that typical trajectories stay inside each of these sets on average for quite a long time. </jats:p>","lang":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16535","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published","page":"2475-2485","citation":{"apa":"Dellnitz, M., &#38; Junge, O. (1997). Almost Invariant Sets in Chua’s Circuit. <i>International Journal of Bifurcation and Chaos</i>, 2475–2485. <a href=\"https://doi.org/10.1142/s0218127497001655\">https://doi.org/10.1142/s0218127497001655</a>","mla":"Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” <i>International Journal of Bifurcation and Chaos</i>, 1997, pp. 2475–85, doi:<a href=\"https://doi.org/10.1142/s0218127497001655\">10.1142/s0218127497001655</a>.","bibtex":"@article{Dellnitz_Junge_1997, title={Almost Invariant Sets in Chua’s Circuit}, DOI={<a href=\"https://doi.org/10.1142/s0218127497001655\">10.1142/s0218127497001655</a>}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver}, year={1997}, pages={2475–2485} }","short":"M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (1997) 2475–2485.","ieee":"M. Dellnitz and O. Junge, “Almost Invariant Sets in Chua’s Circuit,” <i>International Journal of Bifurcation and Chaos</i>, pp. 2475–2485, 1997.","chicago":"Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” <i>International Journal of Bifurcation and Chaos</i>, 1997, 2475–85. <a href=\"https://doi.org/10.1142/s0218127497001655\">https://doi.org/10.1142/s0218127497001655</a>.","ama":"Dellnitz M, Junge O. Almost Invariant Sets in Chua’s Circuit. <i>International Journal of Bifurcation and Chaos</i>. 1997:2475-2485. doi:<a href=\"https://doi.org/10.1142/s0218127497001655\">10.1142/s0218127497001655</a>"},"year":"1997","date_created":"2020-04-15T08:31:50Z","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.1142/s0218127497001655","title":"Almost Invariant Sets in Chua's Circuit"},{"status":"public","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","type":"journal_article","language":[{"iso":"eng"}],"_id":"16552","department":[{"_id":"101"}],"user_id":"15701","year":"1997","page":"221-228","citation":{"chicago":"Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring Invariant Sets and Invariant Measures.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, 1997, 221–28. <a href=\"https://doi.org/10.1063/1.166223\">https://doi.org/10.1063/1.166223</a>.","ieee":"M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, “Exploring invariant sets and invariant measures,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, pp. 221–228, 1997.","ama":"Dellnitz M, Hohmann A, Junge O, Rumpf M. Exploring invariant sets and invariant measures. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 1997:221-228. doi:<a href=\"https://doi.org/10.1063/1.166223\">10.1063/1.166223</a>","apa":"Dellnitz, M., Hohmann, A., Junge, O., &#38; Rumpf, M. (1997). Exploring invariant sets and invariant measures. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, 221–228. <a href=\"https://doi.org/10.1063/1.166223\">https://doi.org/10.1063/1.166223</a>","mla":"Dellnitz, Michael, et al. “Exploring Invariant Sets and Invariant Measures.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, 1997, pp. 221–28, doi:<a href=\"https://doi.org/10.1063/1.166223\">10.1063/1.166223</a>.","bibtex":"@article{Dellnitz_Hohmann_Junge_Rumpf_1997, title={Exploring invariant sets and invariant measures}, DOI={<a href=\"https://doi.org/10.1063/1.166223\">10.1063/1.166223</a>}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, author={Dellnitz, Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin}, year={1997}, pages={221–228} }","short":"M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf, Chaos: An Interdisciplinary Journal of Nonlinear Science (1997) 221–228."},"publication_identifier":{"issn":["1054-1500","1089-7682"]},"publication_status":"published","title":"Exploring invariant sets and invariant measures","doi":"10.1063/1.166223","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"full_name":"Hohmann, Andreas","last_name":"Hohmann","first_name":"Andreas"},{"full_name":"Junge, Oliver","last_name":"Junge","first_name":"Oliver"},{"first_name":"Martin","last_name":"Rumpf","full_name":"Rumpf, Martin"}],"date_created":"2020-04-15T09:06:28Z"},{"department":[{"_id":"101"}],"user_id":"15701","_id":"16614","language":[{"iso":"eng"}],"publication":"Chaos, Solitons & Fractals","type":"journal_article","status":"public","author":[{"full_name":"Guder, Rabbijah","last_name":"Guder","first_name":"Rabbijah"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Edwin","last_name":"Kreuzer","full_name":"Kreuzer, Edwin"}],"date_created":"2020-04-16T08:05:37Z","date_updated":"2022-01-06T06:52:53Z","doi":"10.1016/s0960-0779(96)00118-x","title":"An adaptive method for the approximation of the generalized cell mapping","publication_identifier":{"issn":["0960-0779"]},"publication_status":"published","page":"525-534","citation":{"ama":"Guder R, Dellnitz M, Kreuzer E. An adaptive method for the approximation of the generalized cell mapping. <i>Chaos, Solitons &#38; Fractals</i>. 1997:525-534. doi:<a href=\"https://doi.org/10.1016/s0960-0779(96)00118-x\">10.1016/s0960-0779(96)00118-x</a>","ieee":"R. Guder, M. Dellnitz, and E. Kreuzer, “An adaptive method for the approximation of the generalized cell mapping,” <i>Chaos, Solitons &#38; Fractals</i>, pp. 525–534, 1997.","chicago":"Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” <i>Chaos, Solitons &#38; Fractals</i>, 1997, 525–34. <a href=\"https://doi.org/10.1016/s0960-0779(96)00118-x\">https://doi.org/10.1016/s0960-0779(96)00118-x</a>.","apa":"Guder, R., Dellnitz, M., &#38; Kreuzer, E. (1997). An adaptive method for the approximation of the generalized cell mapping. <i>Chaos, Solitons &#38; Fractals</i>, 525–534. <a href=\"https://doi.org/10.1016/s0960-0779(96)00118-x\">https://doi.org/10.1016/s0960-0779(96)00118-x</a>","short":"R. Guder, M. Dellnitz, E. Kreuzer, Chaos, Solitons &#38; Fractals (1997) 525–534.","mla":"Guder, Rabbijah, et al. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” <i>Chaos, Solitons &#38; Fractals</i>, 1997, pp. 525–34, doi:<a href=\"https://doi.org/10.1016/s0960-0779(96)00118-x\">10.1016/s0960-0779(96)00118-x</a>.","bibtex":"@article{Guder_Dellnitz_Kreuzer_1997, title={An adaptive method for the approximation of the generalized cell mapping}, DOI={<a href=\"https://doi.org/10.1016/s0960-0779(96)00118-x\">10.1016/s0960-0779(96)00118-x</a>}, journal={Chaos, Solitons &#38; Fractals}, author={Guder, Rabbijah and Dellnitz, Michael and Kreuzer, Edwin}, year={1997}, pages={525–534} }"},"year":"1997"},{"volume":75,"author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"last_name":"Hohmann","full_name":"Hohmann, Andreas","first_name":"Andreas"}],"date_created":"2020-05-19T09:07:27Z","date_updated":"2022-01-06T06:53:02Z","doi":"10.1007/s002110050240","title":"A subdivision algorithm for the computation of unstable manifolds and global attractors","publication_identifier":{"issn":["0029-599X","0945-3245"]},"publication_status":"published","intvolume":"        75","page":"293-317","citation":{"apa":"Dellnitz, M., &#38; Hohmann, A. (1997). A subdivision algorithm for the computation of unstable manifolds and global attractors. <i>Numerische Mathematik</i>, <i>75</i>, 293–317. <a href=\"https://doi.org/10.1007/s002110050240\">https://doi.org/10.1007/s002110050240</a>","short":"M. Dellnitz, A. Hohmann, Numerische Mathematik 75 (1997) 293–317.","bibtex":"@article{Dellnitz_Hohmann_1997, title={A subdivision algorithm for the computation of unstable manifolds and global attractors}, volume={75}, DOI={<a href=\"https://doi.org/10.1007/s002110050240\">10.1007/s002110050240</a>}, journal={Numerische Mathematik}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1997}, pages={293–317} }","mla":"Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” <i>Numerische Mathematik</i>, vol. 75, 1997, pp. 293–317, doi:<a href=\"https://doi.org/10.1007/s002110050240\">10.1007/s002110050240</a>.","ieee":"M. Dellnitz and A. Hohmann, “A subdivision algorithm for the computation of unstable manifolds and global attractors,” <i>Numerische Mathematik</i>, vol. 75, pp. 293–317, 1997.","chicago":"Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” <i>Numerische Mathematik</i> 75 (1997): 293–317. <a href=\"https://doi.org/10.1007/s002110050240\">https://doi.org/10.1007/s002110050240</a>.","ama":"Dellnitz M, Hohmann A. A subdivision algorithm for the computation of unstable manifolds and global attractors. <i>Numerische Mathematik</i>. 1997;75:293-317. doi:<a href=\"https://doi.org/10.1007/s002110050240\">10.1007/s002110050240</a>"},"year":"1997","department":[{"_id":"101"}],"user_id":"32643","_id":"17015","language":[{"iso":"eng"}],"publication":"Numerische Mathematik","type":"journal_article","status":"public"},{"type":"journal_article","status":"public","department":[{"_id":"102"}],"user_id":"93826","_id":"34903","has_accepted_license":"1","publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","intvolume":"        24","page":"267-283","citation":{"ieee":"M. DABERKOW <i>et al.</i>, “KANT V4,” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, pp. 267–283, 1997, doi: <a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>.","chicago":"DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, and K. WILDANGER. “KANT V4.” <i>Journal of Symbolic Computation</i> 24, no. 3–4 (1997): 267–83. <a href=\"https://doi.org/10.1006/jsco.1996.0126\">https://doi.org/10.1006/jsco.1996.0126</a>.","ama":"DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. <i>Journal of Symbolic Computation</i>. 1997;24(3-4):267-283. doi:<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>","mla":"DABERKOW, M., et al. “KANT V4.” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>.","short":"M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.","bibtex":"@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997, title={KANT V4}, volume={24}, DOI={<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>}, number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER, K. and SCHÖRNIG, M. and WILDANGER, K.}, year={1997}, pages={267–283} }","apa":"DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M., &#38; WILDANGER, K. (1997). KANT V4. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4), 267–283. <a href=\"https://doi.org/10.1006/jsco.1996.0126\">https://doi.org/10.1006/jsco.1996.0126</a>"},"volume":24,"author":[{"first_name":"M.","full_name":"DABERKOW, M.","last_name":"DABERKOW"},{"first_name":"C.","last_name":"FIEKER","full_name":"FIEKER, C."},{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"},{"first_name":"M.","full_name":"POHST, M.","last_name":"POHST"},{"first_name":"K.","last_name":"ROEGNER","full_name":"ROEGNER, K."},{"full_name":"SCHÖRNIG, M.","last_name":"SCHÖRNIG","first_name":"M."},{"first_name":"K.","last_name":"WILDANGER","full_name":"WILDANGER, K."}],"date_updated":"2023-03-06T09:23:30Z","doi":"10.1006/jsco.1996.0126","publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"The software packageKANT V4for computations in algebraic number fields is now available in version 4. In addition a new user interface has been released. We will outline the features of this new software package."}],"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"ddc":["000"],"issue":"3-4","year":"1997","date_created":"2022-12-23T10:02:24Z","publisher":"Elsevier BV","title":"KANT V4"}]