[{"page":"267-283","_id":"34903","publisher":"Elsevier BV","user_id":"93826","ddc":["000"],"volume":24,"status":"public","has_accepted_license":"1","citation":{"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>.","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} }","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>","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>.","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>","short":"M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.","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>."},"language":[{"iso":"eng"}],"doi":"10.1006/jsco.1996.0126","year":"1997","title":"KANT V4","publication_identifier":{"issn":["0747-7171"]},"author":[{"first_name":"M.","last_name":"DABERKOW","full_name":"DABERKOW, M."},{"full_name":"FIEKER, C.","last_name":"FIEKER","first_name":"C."},{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"},{"last_name":"POHST","first_name":"M.","full_name":"POHST, M."},{"full_name":"ROEGNER, K.","last_name":"ROEGNER","first_name":"K."},{"last_name":"SCHÖRNIG","first_name":"M.","full_name":"SCHÖRNIG, M."},{"last_name":"WILDANGER","first_name":"K.","full_name":"WILDANGER, K."}],"publication_status":"published","date_updated":"2023-03-06T09:23:30Z","intvolume":"        24","date_created":"2022-12-23T10:02:24Z","keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"publication":"Journal of Symbolic Computation","issue":"3-4","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."}]},{"date_created":"2022-12-23T10:03:02Z","department":[{"_id":"102"}],"type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"issue":"3-4","publication":"Journal of Symbolic Computation","abstract":[{"text":"The purpose of this article is to determine all subfields ℚ(β) of fixed degree of a given algebraic number field ℚ(α). It is convenient to describe each subfield by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial of β = h(α). The computations are done in unramifiedp-adic extensions and use information concerning subgroups of the Galois group of the normal closure of ℚ(α) obtained from the van der Waerden criterion.","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1006/jsco.1996.0140","author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"},{"last_name":"Pohst","first_name":"Michael","full_name":"Pohst, Michael"}],"publication_identifier":{"issn":["0747-7171"]},"year":"1997","title":"On Computing Subfields","intvolume":"        24","publication_status":"published","date_updated":"2023-03-06T10:36:21Z","citation":{"chicago":"Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of Symbolic Computation</i> 24, no. 3–4 (1997): 385–97. <a href=\"https://doi.org/10.1006/jsco.1996.0140\">https://doi.org/10.1006/jsco.1996.0140</a>.","short":"J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.","apa":"Klüners, J., &#38; Pohst, M. (1997). On Computing Subfields. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4), 385–397. <a href=\"https://doi.org/10.1006/jsco.1996.0140\">https://doi.org/10.1006/jsco.1996.0140</a>","ieee":"J. Klüners and M. Pohst, “On Computing Subfields,” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, pp. 385–397, 1997, doi: <a href=\"https://doi.org/10.1006/jsco.1996.0140\">10.1006/jsco.1996.0140</a>.","ama":"Klüners J, Pohst M. On Computing Subfields. <i>Journal of Symbolic Computation</i>. 1997;24(3-4):385-397. doi:<a href=\"https://doi.org/10.1006/jsco.1996.0140\">10.1006/jsco.1996.0140</a>","bibtex":"@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24}, DOI={<a href=\"https://doi.org/10.1006/jsco.1996.0140\">10.1006/jsco.1996.0140</a>}, number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }","mla":"Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:<a href=\"https://doi.org/10.1006/jsco.1996.0140\">10.1006/jsco.1996.0140</a>."},"publisher":"Elsevier BV","_id":"34904","page":"385-397","volume":24,"user_id":"93826","ddc":["000"],"status":"public","has_accepted_license":"1"},{"language":[{"iso":"eng"}],"_id":"42806","page":"93","user_id":"93826","author":[{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"}],"year":"1997","title":"Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)","status":"public","date_updated":"2023-03-07T09:24:39Z","date_created":"2023-03-07T09:00:38Z","place":"TU Berlin","department":[{"_id":"102"}],"type":"dissertation","citation":{"ama":"Klüners J. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>.; 1997.","bibtex":"@book{Klüners_1997, place={TU Berlin}, title={Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)}, author={Klüners, Jürgen}, year={1997} }","mla":"Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>. 1997.","short":"J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation), TU Berlin, 1997.","chicago":"Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997.","apa":"Klüners, J. (1997). <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)</i>.","ieee":"J. Klüners, <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997."},"extern":"1","related_material":{"link":[{"relation":"confirmation","url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diss.pdf"}]}},{"department":[{"_id":"101"}],"type":"book_chapter","place":"Basel","date_created":"2020-04-15T08:27:35Z","citation":{"ama":"Dellnitz M, Hohmann A. The Computation of Unstable Manifolds Using Subdivision and Continuation. In: <i>Nonlinear Dynamical Systems and Chaos</i>. Basel; 1996. doi:<a href=\"https://doi.org/10.1007/978-3-0348-7518-9_21\">10.1007/978-3-0348-7518-9_21</a>","bibtex":"@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of Unstable Manifolds Using Subdivision and Continuation}, DOI={<a href=\"https://doi.org/10.1007/978-3-0348-7518-9_21\">10.1007/978-3-0348-7518-9_21</a>}, booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1996} }","mla":"Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” <i>Nonlinear Dynamical Systems and Chaos</i>, 1996, doi:<a href=\"https://doi.org/10.1007/978-3-0348-7518-9_21\">10.1007/978-3-0348-7518-9_21</a>.","short":"M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel, 1996.","chicago":"Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” In <i>Nonlinear Dynamical Systems and Chaos</i>. Basel, 1996. <a href=\"https://doi.org/10.1007/978-3-0348-7518-9_21\">https://doi.org/10.1007/978-3-0348-7518-9_21</a>.","apa":"Dellnitz, M., &#38; Hohmann, A. (1996). The Computation of Unstable Manifolds Using Subdivision and Continuation. In <i>Nonlinear Dynamical Systems and Chaos</i>. Basel. <a href=\"https://doi.org/10.1007/978-3-0348-7518-9_21\">https://doi.org/10.1007/978-3-0348-7518-9_21</a>","ieee":"M. Dellnitz and A. Hohmann, “The Computation of Unstable Manifolds Using Subdivision and Continuation,” in <i>Nonlinear Dynamical Systems and Chaos</i>, Basel, 1996."},"publication":"Nonlinear Dynamical Systems and Chaos","doi":"10.1007/978-3-0348-7518-9_21","user_id":"15701","language":[{"iso":"eng"}],"_id":"16533","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","publication_identifier":{"isbn":["9783034875202","9783034875189"]},"author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Hohmann, Andreas","last_name":"Hohmann","first_name":"Andreas"}],"status":"public","year":"1996","title":"The Computation of Unstable Manifolds Using Subdivision and Continuation"},{"date_created":"2020-04-15T07:23:50Z","type":"journal_article","department":[{"_id":"101"}],"publication":"International Journal of Bifurcation and Chaos","citation":{"chicago":"Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” <i>International Journal of Bifurcation and Chaos</i>, 1995, 1643–76. <a href=\"https://doi.org/10.1142/s021812749500123x\">https://doi.org/10.1142/s021812749500123x</a>.","short":"P.J. Aston, M. Dellnitz, International Journal of Bifurcation and Chaos (1995) 1643–1676.","ama":"Aston PJ, Dellnitz M. Symmetry Breaking Bifurcations of Chaotic Attractors. <i>International Journal of Bifurcation and Chaos</i>. 1995:1643-1676. doi:<a href=\"https://doi.org/10.1142/s021812749500123x\">10.1142/s021812749500123x</a>","bibtex":"@article{Aston_Dellnitz_1995, title={Symmetry Breaking Bifurcations of Chaotic Attractors}, DOI={<a href=\"https://doi.org/10.1142/s021812749500123x\">10.1142/s021812749500123x</a>}, journal={International Journal of Bifurcation and Chaos}, author={Aston, Philip J. and Dellnitz, Michael}, year={1995}, pages={1643–1676} }","mla":"Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” <i>International Journal of Bifurcation and Chaos</i>, 1995, pp. 1643–76, doi:<a href=\"https://doi.org/10.1142/s021812749500123x\">10.1142/s021812749500123x</a>.","apa":"Aston, P. J., &#38; Dellnitz, M. (1995). Symmetry Breaking Bifurcations of Chaotic Attractors. <i>International Journal of Bifurcation and Chaos</i>, 1643–1676. <a href=\"https://doi.org/10.1142/s021812749500123x\">https://doi.org/10.1142/s021812749500123x</a>","ieee":"P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,” <i>International Journal of Bifurcation and Chaos</i>, pp. 1643–1676, 1995."},"abstract":[{"text":"<jats:p> In an array of coupled oscillators, synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper is to investigate which type of dynamical behavior is expected to be observed once the loss of stability has occurred. The essential tool is a classification of Lyapunov exponents based on the symmetry of the underlying problem. This classification is crucial in the derivation of the analytical results but it also allows an efficient computation of the dominant Lyapunov exponent associated with each symmetry type. We show how these dominant exponents determine the stability of invariant sets possessing various instantaneous symmetries, and this leads to the idea of symmetry breaking bifurcations of chaotic attractors. Finally, the results and ideas are illustrated for several systems of coupled oscillators. </jats:p>","lang":"eng"}],"page":"1643-1676","language":[{"iso":"eng"}],"_id":"16510","doi":"10.1142/s021812749500123x","user_id":"15701","year":"1995","title":"Symmetry Breaking Bifurcations of Chaotic Attractors","status":"public","author":[{"first_name":"Philip J.","last_name":"Aston","full_name":"Aston, Philip J."},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"date_updated":"2022-01-06T06:52:52Z","publication_status":"published"},{"department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-15T08:25:12Z","citation":{"mla":"Dellnitz, M., and C. Heinrich. “Admissible Symmetry Increasing Bifurcations.” <i>Nonlinearity</i>, 1995, pp. 1039–66, doi:<a href=\"https://doi.org/10.1088/0951-7715/8/6/009\">10.1088/0951-7715/8/6/009</a>.","ama":"Dellnitz M, Heinrich C. Admissible symmetry increasing bifurcations. <i>Nonlinearity</i>. 1995:1039-1066. doi:<a href=\"https://doi.org/10.1088/0951-7715/8/6/009\">10.1088/0951-7715/8/6/009</a>","bibtex":"@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing bifurcations}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/8/6/009\">10.1088/0951-7715/8/6/009</a>}, journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066} }","apa":"Dellnitz, M., &#38; Heinrich, C. (1995). Admissible symmetry increasing bifurcations. <i>Nonlinearity</i>, 1039–1066. <a href=\"https://doi.org/10.1088/0951-7715/8/6/009\">https://doi.org/10.1088/0951-7715/8/6/009</a>","ieee":"M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,” <i>Nonlinearity</i>, pp. 1039–1066, 1995.","chicago":"Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.” <i>Nonlinearity</i>, 1995, 1039–66. <a href=\"https://doi.org/10.1088/0951-7715/8/6/009\">https://doi.org/10.1088/0951-7715/8/6/009</a>.","short":"M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066."},"publication":"Nonlinearity","user_id":"15701","doi":"10.1088/0951-7715/8/6/009","language":[{"iso":"eng"}],"_id":"16532","page":"1039-1066","publication_status":"published","date_updated":"2022-01-06T06:52:52Z","publication_identifier":{"issn":["0951-7715","1361-6544"]},"author":[{"first_name":"M","last_name":"Dellnitz","full_name":"Dellnitz, M"},{"first_name":"C","last_name":"Heinrich","full_name":"Heinrich, C"}],"title":"Admissible symmetry increasing bifurcations","status":"public","year":"1995"},{"date_created":"2020-04-15T08:46:30Z","department":[{"_id":"101"}],"type":"journal_article","citation":{"mla":"Dellnitz, M., and I. Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” <i>Nonlinearity</i>, 1995, pp. 1067–75, doi:<a href=\"https://doi.org/10.1088/0951-7715/8/6/010\">10.1088/0951-7715/8/6/010</a>.","bibtex":"@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma and symmetric periodic points}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/8/6/010\">10.1088/0951-7715/8/6/010</a>}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075} }","ama":"Dellnitz M, Melbourne I. A note on the shadowing lemma and symmetric periodic points. <i>Nonlinearity</i>. 1995:1067-1075. doi:<a href=\"https://doi.org/10.1088/0951-7715/8/6/010\">10.1088/0951-7715/8/6/010</a>","ieee":"M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric periodic points,” <i>Nonlinearity</i>, pp. 1067–1075, 1995.","apa":"Dellnitz, M., &#38; Melbourne, I. (1995). A note on the shadowing lemma and symmetric periodic points. <i>Nonlinearity</i>, 1067–1075. <a href=\"https://doi.org/10.1088/0951-7715/8/6/010\">https://doi.org/10.1088/0951-7715/8/6/010</a>","chicago":"Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” <i>Nonlinearity</i>, 1995, 1067–75. <a href=\"https://doi.org/10.1088/0951-7715/8/6/010\">https://doi.org/10.1088/0951-7715/8/6/010</a>.","short":"M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075."},"publication":"Nonlinearity","_id":"16542","language":[{"iso":"eng"}],"page":"1067-1075","user_id":"15701","doi":"10.1088/0951-7715/8/6/010","author":[{"last_name":"Dellnitz","first_name":"M","full_name":"Dellnitz, M"},{"full_name":"Melbourne, I","last_name":"Melbourne","first_name":"I"}],"publication_identifier":{"issn":["0951-7715","1361-6544"]},"title":"A note on the shadowing lemma and symmetric periodic points","year":"1995","status":"public","publication_status":"published","date_updated":"2022-01-06T06:52:52Z"},{"publication_status":"published","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"first_name":"Michael","last_name":"Field","full_name":"Field, Michael"},{"last_name":"Golubitsky","first_name":"Martin","full_name":"Golubitsky, Martin"},{"first_name":"Jun","last_name":"Ma","full_name":"Ma, Jun"},{"full_name":"Hohmann, Andreas","last_name":"Hohmann","first_name":"Andreas"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"status":"public","title":"Cycling Chaos","year":"1995","user_id":"15701","doi":"10.1142/s0218127495000909","_id":"16550","language":[{"iso":"eng"}],"page":"1243-1247","citation":{"apa":"Dellnitz, M., Field, M., Golubitsky, M., Ma, J., &#38; Hohmann, A. (1995). Cycling Chaos. <i>International Journal of Bifurcation and Chaos</i>, 1243–1247. <a href=\"https://doi.org/10.1142/s0218127495000909\">https://doi.org/10.1142/s0218127495000909</a>","ieee":"M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,” <i>International Journal of Bifurcation and Chaos</i>, pp. 1243–1247, 1995.","chicago":"Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas Hohmann. “Cycling Chaos.” <i>International Journal of Bifurcation and Chaos</i>, 1995, 1243–47. <a href=\"https://doi.org/10.1142/s0218127495000909\">https://doi.org/10.1142/s0218127495000909</a>.","short":"M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal of Bifurcation and Chaos (1995) 1243–1247.","mla":"Dellnitz, Michael, et al. “Cycling Chaos.” <i>International Journal of Bifurcation and Chaos</i>, 1995, pp. 1243–47, doi:<a href=\"https://doi.org/10.1142/s0218127495000909\">10.1142/s0218127495000909</a>.","ama":"Dellnitz M, Field M, Golubitsky M, Ma J, Hohmann A. Cycling Chaos. <i>International Journal of Bifurcation and Chaos</i>. 1995:1243-1247. doi:<a href=\"https://doi.org/10.1142/s0218127495000909\">10.1142/s0218127495000909</a>","bibtex":"@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos}, DOI={<a href=\"https://doi.org/10.1142/s0218127495000909\">10.1142/s0218127495000909</a>}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995}, pages={1243–1247} }"},"publication":"International Journal of Bifurcation and Chaos","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-15T09:04:16Z"},{"language":[{"iso":"eng"}],"_id":"16551","page":"1487-1501","doi":"10.1142/s0218127495001149","user_id":"15701","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Golubitsky, Martin","first_name":"Martin","last_name":"Golubitsky"},{"last_name":"Hohmann","first_name":"Andreas","full_name":"Hohmann, Andreas"},{"full_name":"Stewart, Ian","last_name":"Stewart","first_name":"Ian"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"status":"public","title":"Spirals in Scalar Reaction–Diffusion Equations","year":"1995","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","date_created":"2020-04-15T09:05:30Z","department":[{"_id":"101"}],"type":"journal_article","citation":{"mla":"Dellnitz, Michael, et al. “Spirals in Scalar Reaction–Diffusion Equations.” <i>International Journal of Bifurcation and Chaos</i>, 1995, pp. 1487–501, doi:<a href=\"https://doi.org/10.1142/s0218127495001149\">10.1142/s0218127495001149</a>.","bibtex":"@article{Dellnitz_Golubitsky_Hohmann_Stewart_1995, title={Spirals in Scalar Reaction–Diffusion Equations}, DOI={<a href=\"https://doi.org/10.1142/s0218127495001149\">10.1142/s0218127495001149</a>}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}, year={1995}, pages={1487–1501} }","ama":"Dellnitz M, Golubitsky M, Hohmann A, Stewart I. Spirals in Scalar Reaction–Diffusion Equations. <i>International Journal of Bifurcation and Chaos</i>. 1995:1487-1501. doi:<a href=\"https://doi.org/10.1142/s0218127495001149\">10.1142/s0218127495001149</a>","ieee":"M. Dellnitz, M. Golubitsky, A. Hohmann, and I. Stewart, “Spirals in Scalar Reaction–Diffusion Equations,” <i>International Journal of Bifurcation and Chaos</i>, pp. 1487–1501, 1995.","apa":"Dellnitz, M., Golubitsky, M., Hohmann, A., &#38; Stewart, I. (1995). Spirals in Scalar Reaction–Diffusion Equations. <i>International Journal of Bifurcation and Chaos</i>, 1487–1501. <a href=\"https://doi.org/10.1142/s0218127495001149\">https://doi.org/10.1142/s0218127495001149</a>","short":"M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart, International Journal of Bifurcation and Chaos (1995) 1487–1501.","chicago":"Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart. “Spirals in Scalar Reaction–Diffusion Equations.” <i>International Journal of Bifurcation and Chaos</i>, 1995, 1487–1501. <a href=\"https://doi.org/10.1142/s0218127495001149\">https://doi.org/10.1142/s0218127495001149</a>."},"publication":"International Journal of Bifurcation and Chaos","abstract":[{"text":"<jats:p> Spiral patterns have been observed experimentally, numerically, and theoretically in a variety of systems. It is often believed that these spiral wave patterns can occur only in systems of reaction–diffusion equations. We show, both theoretically (using Hopf bifurcation techniques) and numerically (using both direct simulation and continuation of rotating waves) that spiral wave patterns can appear in a single reaction–diffusion equation [ in u(x, t)] on a disk, if one assumes \"spiral\" boundary conditions (u<jats:sub>r</jats:sub> = mu<jats:sub>θ</jats:sub>). Spiral boundary conditions are motivated by assuming that a solution is infinitesimally an Archimedian spiral near the boundary. It follows from a bifurcation analysis that for this form of spirals there are no singularities in the spiral pattern (technically there is no spiral tip) and that at bifurcation there is a steep gradient between the \"red\" and \"blue\" arms of the spiral. </jats:p>","lang":"eng"}]},{"publication":"Normal Forms and Homoclinic Chaos","citation":{"ieee":"M. Golubitsky, J. Marsden, I. Stewart, and M. Dellnitz, “The constrained Liapunov-Schmidt procedure and periodic orbits,” in <i>Normal Forms and Homoclinic Chaos</i>, Providence, Rhode Island, 1995.","apa":"Golubitsky, M., Marsden, J., Stewart, I., &#38; Dellnitz, M. (1995). The constrained Liapunov-Schmidt procedure and periodic orbits. In <i>Normal Forms and Homoclinic Chaos</i>. Providence, Rhode Island. <a href=\"https://doi.org/10.1090/fic/004/05\">https://doi.org/10.1090/fic/004/05</a>","short":"M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.","chicago":"Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In <i>Normal Forms and Homoclinic Chaos</i>. Providence, Rhode Island, 1995. <a href=\"https://doi.org/10.1090/fic/004/05\">https://doi.org/10.1090/fic/004/05</a>.","mla":"Golubitsky, Martin, et al. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” <i>Normal Forms and Homoclinic Chaos</i>, 1995, doi:<a href=\"https://doi.org/10.1090/fic/004/05\">10.1090/fic/004/05</a>.","bibtex":"@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits}, DOI={<a href=\"https://doi.org/10.1090/fic/004/05\">10.1090/fic/004/05</a>}, booktitle={Normal Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and Stewart, Ian and Dellnitz, Michael}, year={1995} }","ama":"Golubitsky M, Marsden J, Stewart I, Dellnitz M. The constrained Liapunov-Schmidt procedure and periodic orbits. In: <i>Normal Forms and Homoclinic Chaos</i>. Providence, Rhode Island; 1995. doi:<a href=\"https://doi.org/10.1090/fic/004/05\">10.1090/fic/004/05</a>"},"place":"Providence, Rhode Island","date_created":"2020-04-16T08:02:13Z","type":"book_chapter","department":[{"_id":"101"}],"status":"public","title":"The constrained Liapunov-Schmidt procedure and periodic orbits","year":"1995","publication_identifier":{"isbn":["9780821803264","9781470429720"]},"author":[{"full_name":"Golubitsky, Martin","last_name":"Golubitsky","first_name":"Martin"},{"last_name":"Marsden","first_name":"Jerrold","full_name":"Marsden, Jerrold"},{"first_name":"Ian","last_name":"Stewart","full_name":"Stewart, Ian"},{"full_name":"Dellnitz, Michael","first_name":"Michael","last_name":"Dellnitz"}],"date_updated":"2022-01-06T06:52:53Z","publication_status":"published","language":[{"iso":"eng"}],"_id":"16611","doi":"10.1090/fic/004/05","user_id":"15701"},{"user_id":"93826","language":[{"iso":"eng"}],"_id":"42808","page":"91","date_updated":"2023-03-07T09:25:16Z","author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"status":"public","title":"Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)","year":"1995","department":[{"_id":"102"}],"type":"mastersthesis","place":"TU Berlin","date_created":"2023-03-07T09:12:39Z","related_material":{"link":[{"url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diplom.pdf","relation":"confirmation"}]},"extern":"1","citation":{"ama":"Klüners J. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit)</i>.; 1995.","bibtex":"@book{Klüners_1995, place={TU Berlin}, title={Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)}, author={Klüners, Jürgen}, year={1995} }","mla":"Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit)</i>. 1995.","chicago":"Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit)</i>. TU Berlin, 1995.","short":"J. Klüners, Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit), TU Berlin, 1995.","apa":"Klüners, J. (1995). <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)</i>.","ieee":"J. Klüners, <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)</i>. TU Berlin, 1995."}},{"date_updated":"2022-01-06T06:52:52Z","publication_status":"published","title":"Generic movement of eigenvalues for equivariant self-adjoint matrices","status":"public","year":"1994","publication_identifier":{"issn":["0377-0427"]},"author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"full_name":"Melbourne, Ian","last_name":"Melbourne","first_name":"Ian"}],"doi":"10.1016/0377-0427(94)90032-9","user_id":"15701","page":"249-259","language":[{"iso":"eng"}],"_id":"16541","publication":"Journal of Computational and Applied Mathematics","citation":{"apa":"Dellnitz, M., &#38; Melbourne, I. (1994). Generic movement of eigenvalues for equivariant self-adjoint matrices. <i>Journal of Computational and Applied Mathematics</i>, 249–259. <a href=\"https://doi.org/10.1016/0377-0427(94)90032-9\">https://doi.org/10.1016/0377-0427(94)90032-9</a>","ieee":"M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant self-adjoint matrices,” <i>Journal of Computational and Applied Mathematics</i>, pp. 249–259, 1994.","short":"M. Dellnitz, I. Melbourne, Journal of Computational and Applied Mathematics (1994) 249–259.","chicago":"Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” <i>Journal of Computational and Applied Mathematics</i>, 1994, 249–59. <a href=\"https://doi.org/10.1016/0377-0427(94)90032-9\">https://doi.org/10.1016/0377-0427(94)90032-9</a>.","mla":"Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” <i>Journal of Computational and Applied Mathematics</i>, 1994, pp. 249–59, doi:<a href=\"https://doi.org/10.1016/0377-0427(94)90032-9\">10.1016/0377-0427(94)90032-9</a>.","ama":"Dellnitz M, Melbourne I. Generic movement of eigenvalues for equivariant self-adjoint matrices. <i>Journal of Computational and Applied Mathematics</i>. 1994:249-259. doi:<a href=\"https://doi.org/10.1016/0377-0427(94)90032-9\">10.1016/0377-0427(94)90032-9</a>","bibtex":"@article{Dellnitz_Melbourne_1994, title={Generic movement of eigenvalues for equivariant self-adjoint matrices}, DOI={<a href=\"https://doi.org/10.1016/0377-0427(94)90032-9\">10.1016/0377-0427(94)90032-9</a>}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Melbourne, Ian}, year={1994}, pages={249–259} }"},"type":"journal_article","department":[{"_id":"101"}],"date_created":"2020-04-15T08:44:12Z"},{"citation":{"ama":"Dellnitz M, Scheurle J. Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In: <i>Dynamics, Bifurcation and Symmetry</i>. Dordrecht; 1994. doi:<a href=\"https://doi.org/10.1007/978-94-011-0956-7_9\">10.1007/978-94-011-0956-7_9</a>","short":"M. Dellnitz, J. Scheurle, in: Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.","chicago":"Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” In <i>Dynamics, Bifurcation and Symmetry</i>. Dordrecht, 1994. <a href=\"https://doi.org/10.1007/978-94-011-0956-7_9\">https://doi.org/10.1007/978-94-011-0956-7_9</a>.","bibtex":"@inbook{Dellnitz_Scheurle_1994, place={Dordrecht}, title={Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom}, DOI={<a href=\"https://doi.org/10.1007/978-94-011-0956-7_9\">10.1007/978-94-011-0956-7_9</a>}, booktitle={Dynamics, Bifurcation and Symmetry}, author={Dellnitz, Michael and Scheurle, Jürgen}, year={1994} }","mla":"Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” <i>Dynamics, Bifurcation and Symmetry</i>, 1994, doi:<a href=\"https://doi.org/10.1007/978-94-011-0956-7_9\">10.1007/978-94-011-0956-7_9</a>.","apa":"Dellnitz, M., &#38; Scheurle, J. (1994). Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In <i>Dynamics, Bifurcation and Symmetry</i>. Dordrecht. <a href=\"https://doi.org/10.1007/978-94-011-0956-7_9\">https://doi.org/10.1007/978-94-011-0956-7_9</a>","ieee":"M. Dellnitz and J. Scheurle, “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom,” in <i>Dynamics, Bifurcation and Symmetry</i>, Dordrecht, 1994."},"publication":"Dynamics, Bifurcation and Symmetry","place":"Dordrecht","date_created":"2020-04-15T08:53:18Z","department":[{"_id":"101"}],"type":"book_chapter","publication_identifier":{"isbn":["9789401044134","9789401109567"]},"author":[{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"full_name":"Scheurle, Jürgen","last_name":"Scheurle","first_name":"Jürgen"}],"year":"1994","status":"public","title":"Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","_id":"16544","language":[{"iso":"eng"}],"doi":"10.1007/978-94-011-0956-7_9","user_id":"15701"},{"date_created":"2020-04-15T09:02:32Z","place":"New York, NY","department":[{"_id":"101"}],"type":"book_chapter","citation":{"short":"M. Dellnitz, M. Golubitsky, M. Nicol, in: Trends and Perspectives in Applied Mathematics, New York, NY, 1994.","ama":"Dellnitz M, Golubitsky M, Nicol M. Symmetry of Attractors and the Karhunen-Loève Decomposition. In: <i>Trends and Perspectives in Applied Mathematics</i>. New York, NY; 1994. doi:<a href=\"https://doi.org/10.1007/978-1-4612-0859-4_4\">10.1007/978-1-4612-0859-4_4</a>","chicago":"Dellnitz, Michael, Martin Golubitsky, and Matthew Nicol. “Symmetry of Attractors and the Karhunen-Loève Decomposition.” In <i>Trends and Perspectives in Applied Mathematics</i>. New York, NY, 1994. <a href=\"https://doi.org/10.1007/978-1-4612-0859-4_4\">https://doi.org/10.1007/978-1-4612-0859-4_4</a>.","bibtex":"@inbook{Dellnitz_Golubitsky_Nicol_1994, place={New York, NY}, title={Symmetry of Attractors and the Karhunen-Loève Decomposition}, DOI={<a href=\"https://doi.org/10.1007/978-1-4612-0859-4_4\">10.1007/978-1-4612-0859-4_4</a>}, booktitle={Trends and Perspectives in Applied Mathematics}, author={Dellnitz, Michael and Golubitsky, Martin and Nicol, Matthew}, year={1994} }","apa":"Dellnitz, M., Golubitsky, M., &#38; Nicol, M. (1994). Symmetry of Attractors and the Karhunen-Loève Decomposition. In <i>Trends and Perspectives in Applied Mathematics</i>. New York, NY. <a href=\"https://doi.org/10.1007/978-1-4612-0859-4_4\">https://doi.org/10.1007/978-1-4612-0859-4_4</a>","mla":"Dellnitz, Michael, et al. “Symmetry of Attractors and the Karhunen-Loève Decomposition.” <i>Trends and Perspectives in Applied Mathematics</i>, 1994, doi:<a href=\"https://doi.org/10.1007/978-1-4612-0859-4_4\">10.1007/978-1-4612-0859-4_4</a>.","ieee":"M. Dellnitz, M. Golubitsky, and M. Nicol, “Symmetry of Attractors and the Karhunen-Loève Decomposition,” in <i>Trends and Perspectives in Applied Mathematics</i>, New York, NY, 1994."},"publication":"Trends and Perspectives in Applied Mathematics","_id":"16549","language":[{"iso":"eng"}],"user_id":"15701","doi":"10.1007/978-1-4612-0859-4_4","publication_identifier":{"isbn":["9781461269243","9781461208594"],"issn":["0066-5452"]},"author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"last_name":"Golubitsky","first_name":"Martin","full_name":"Golubitsky, Martin"},{"last_name":"Nicol","first_name":"Matthew","full_name":"Nicol, Matthew"}],"year":"1994","title":"Symmetry of Attractors and the Karhunen-Loève Decomposition","status":"public","publication_status":"published","date_updated":"2022-01-06T06:52:52Z"},{"page":"411-428","language":[{"iso":"eng"}],"_id":"17014","user_id":"32643","year":"1994","status":"public","title":"Collisions of chaotic attractors","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"date_updated":"2022-01-06T06:53:02Z","date_created":"2020-05-19T09:06:20Z","type":"journal_article","department":[{"_id":"101"}],"publication":"Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg","citation":{"bibtex":"@article{Dellnitz_1994, title={Collisions of chaotic attractors}, journal={Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg}, author={Dellnitz, Michael}, year={1994}, pages={411–428} }","ama":"Dellnitz M. Collisions of chaotic attractors. <i>Schlaglichter der Forschung: Zum 75 Jahrestag der Universität Hamburg</i>. 1994:411-428.","mla":"Dellnitz, Michael. “Collisions of Chaotic Attractors.” <i>Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 1994, pp. 411–28.","short":"M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg (1994) 411–428.","chicago":"Dellnitz, Michael. “Collisions of Chaotic Attractors.” <i>Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 1994, 411–28.","ieee":"M. Dellnitz, “Collisions of chaotic attractors,” <i>Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg</i>, pp. 411–428, 1994.","apa":"Dellnitz, M. (1994). Collisions of chaotic attractors. <i>Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 411–428."}},{"date_created":"2020-04-15T08:02:09Z","type":"journal_article","department":[{"_id":"101"}],"publication":"Physica D: Nonlinear Phenomena","citation":{"bibtex":"@article{Barany_Dellnitz_Golubitsky_1993, title={Detecting the symmetry of attractors}, DOI={<a href=\"https://doi.org/10.1016/0167-2789(93)90198-a\">10.1016/0167-2789(93)90198-a</a>}, journal={Physica D: Nonlinear Phenomena}, author={Barany, Ernest and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={66–87} }","ama":"Barany E, Dellnitz M, Golubitsky M. Detecting the symmetry of attractors. <i>Physica D: Nonlinear Phenomena</i>. 1993:66-87. doi:<a href=\"https://doi.org/10.1016/0167-2789(93)90198-a\">10.1016/0167-2789(93)90198-a</a>","mla":"Barany, Ernest, et al. “Detecting the Symmetry of Attractors.” <i>Physica D: Nonlinear Phenomena</i>, 1993, pp. 66–87, doi:<a href=\"https://doi.org/10.1016/0167-2789(93)90198-a\">10.1016/0167-2789(93)90198-a</a>.","short":"E. Barany, M. Dellnitz, M. Golubitsky, Physica D: Nonlinear Phenomena (1993) 66–87.","chicago":"Barany, Ernest, Michael Dellnitz, and Martin Golubitsky. “Detecting the Symmetry of Attractors.” <i>Physica D: Nonlinear Phenomena</i>, 1993, 66–87. <a href=\"https://doi.org/10.1016/0167-2789(93)90198-a\">https://doi.org/10.1016/0167-2789(93)90198-a</a>.","ieee":"E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,” <i>Physica D: Nonlinear Phenomena</i>, pp. 66–87, 1993.","apa":"Barany, E., Dellnitz, M., &#38; Golubitsky, M. (1993). Detecting the symmetry of attractors. <i>Physica D: Nonlinear Phenomena</i>, 66–87. <a href=\"https://doi.org/10.1016/0167-2789(93)90198-a\">https://doi.org/10.1016/0167-2789(93)90198-a</a>"},"page":"66-87","language":[{"iso":"eng"}],"_id":"16518","doi":"10.1016/0167-2789(93)90198-a","user_id":"15701","year":"1993","status":"public","title":"Detecting the symmetry of attractors","author":[{"full_name":"Barany, Ernest","last_name":"Barany","first_name":"Ernest"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"},{"full_name":"Golubitsky, Martin","first_name":"Martin","last_name":"Golubitsky"}],"publication_identifier":{"issn":["0167-2789"]},"date_updated":"2022-01-06T06:52:52Z","publication_status":"published"},{"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We obtain normal forms for infinitesimally symplectic matrices (or linear Hamiltonian vector fields) that commute with the symplectic action of a compact Lie group of symmetries. In doing so we extend Williamson's theorem on normal forms when there is no symmetry present.</jats:p><jats:p>Using standard representation-theoretic results the symmetry can be factored out and we reduce to finding normal forms over a real division ring. There are three real division rings consisting of the real, complex and quaternionic numbers. Of these, only the real case is covered in Williamson's original work.</jats:p>"}],"citation":{"ieee":"I. Melbourne and M. Dellnitz, “Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, pp. 235–268, 1993.","apa":"Melbourne, I., &#38; Dellnitz, M. (1993). Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, 235–268. <a href=\"https://doi.org/10.1017/s0305004100071577\">https://doi.org/10.1017/s0305004100071577</a>","chicago":"Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian Vector Fields Commuting with the Action of a Compact Lie Group.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, 1993, 235–68. <a href=\"https://doi.org/10.1017/s0305004100071577\">https://doi.org/10.1017/s0305004100071577</a>.","short":"I. Melbourne, M. Dellnitz, Mathematical Proceedings of the Cambridge Philosophical Society (1993) 235–268.","mla":"Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian Vector Fields Commuting with the Action of a Compact Lie Group.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, 1993, pp. 235–68, doi:<a href=\"https://doi.org/10.1017/s0305004100071577\">10.1017/s0305004100071577</a>.","bibtex":"@article{Melbourne_Dellnitz_1993, title={Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group}, DOI={<a href=\"https://doi.org/10.1017/s0305004100071577\">10.1017/s0305004100071577</a>}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, author={Melbourne, Ian and Dellnitz, Michael}, year={1993}, pages={235–268} }","ama":"Melbourne I, Dellnitz M. 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