[{"publication_identifier":{"issn":["0747-7171"]},"has_accepted_license":"1","publication_status":"published","intvolume":"        24","page":"385-397","citation":{"short":"J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.","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>.","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>","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>","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>.","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>."},"volume":24,"author":[{"first_name":"Jürgen","last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen"},{"first_name":"Michael","last_name":"Pohst","full_name":"Pohst, Michael"}],"date_updated":"2023-03-06T10:36:21Z","doi":"10.1006/jsco.1996.0140","type":"journal_article","status":"public","department":[{"_id":"102"}],"user_id":"93826","_id":"34904","issue":"3-4","year":"1997","date_created":"2022-12-23T10:03:02Z","publisher":"Elsevier BV","title":"On Computing Subfields","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"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"ddc":["000"]},{"citation":{"bibtex":"@book{Klüners_1997, place={TU Berlin}, title={Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)}, author={Klüners, Jürgen}, year={1997} }","short":"J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation), TU Berlin, 1997.","mla":"Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>. 1997.","apa":"Klüners, J. (1997). <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)</i>.","chicago":"Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997.","ieee":"J. Klüners, <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997.","ama":"Klüners J. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation)</i>.; 1997."},"page":"93","year":"1997","place":"TU Berlin","related_material":{"link":[{"url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diss.pdf","relation":"confirmation"}]},"title":"Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)","date_created":"2023-03-07T09:00:38Z","author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"date_updated":"2023-03-07T09:24:39Z","status":"public","type":"dissertation","extern":"1","language":[{"iso":"eng"}],"user_id":"93826","department":[{"_id":"102"}],"_id":"42806"},{"doi":"10.1007/978-3-0348-7518-9_21","title":"The Computation of Unstable Manifolds Using Subdivision and Continuation","date_created":"2020-04-15T08:27:35Z","author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Andreas","last_name":"Hohmann","full_name":"Hohmann, Andreas"}],"date_updated":"2022-01-06T06:52:52Z","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>","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.","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>.","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.","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} }","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>"},"place":"Basel","year":"1996","publication_identifier":{"isbn":["9783034875202","9783034875189"]},"publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16533","status":"public","publication":"Nonlinear Dynamical Systems and Chaos","type":"book_chapter"},{"date_created":"2020-04-15T07:23:50Z","author":[{"first_name":"Philip J.","full_name":"Aston, Philip J.","last_name":"Aston"},{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.1142/s021812749500123x","title":"Symmetry Breaking Bifurcations of Chaotic Attractors","publication_status":"published","publication_identifier":{"issn":["0218-1274","1793-6551"]},"citation":{"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>","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>.","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.","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>.","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} }","short":"P.J. Aston, M. Dellnitz, International Journal of Bifurcation and Chaos (1995) 1643–1676.","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>"},"page":"1643-1676","year":"1995","user_id":"15701","department":[{"_id":"101"}],"_id":"16510","language":[{"iso":"eng"}],"type":"journal_article","publication":"International Journal of Bifurcation and Chaos","status":"public","abstract":[{"lang":"eng","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>"}]},{"language":[{"iso":"eng"}],"_id":"16532","user_id":"15701","department":[{"_id":"101"}],"status":"public","type":"journal_article","publication":"Nonlinearity","title":"Admissible symmetry increasing bifurcations","doi":"10.1088/0951-7715/8/6/009","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, M","first_name":"M"},{"full_name":"Heinrich, C","last_name":"Heinrich","first_name":"C"}],"date_created":"2020-04-15T08:25:12Z","year":"1995","citation":{"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>","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>.","short":"M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066.","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} }","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>.","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>"},"page":"1039-1066","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]}},{"year":"1995","citation":{"short":"M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075.","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} }","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>.","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>","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.","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>."},"page":"1067-1075","publication_status":"published","publication_identifier":{"issn":["0951-7715","1361-6544"]},"title":"A note on the shadowing lemma and symmetric periodic points","doi":"10.1088/0951-7715/8/6/010","date_updated":"2022-01-06T06:52:52Z","author":[{"full_name":"Dellnitz, M","last_name":"Dellnitz","first_name":"M"},{"full_name":"Melbourne, I","last_name":"Melbourne","first_name":"I"}],"date_created":"2020-04-15T08:46:30Z","status":"public","type":"journal_article","publication":"Nonlinearity","language":[{"iso":"eng"}],"_id":"16542","user_id":"15701","department":[{"_id":"101"}]},{"language":[{"iso":"eng"}],"user_id":"15701","department":[{"_id":"101"}],"_id":"16550","status":"public","type":"journal_article","publication":"International Journal of Bifurcation and Chaos","doi":"10.1142/s0218127495000909","title":"Cycling Chaos","author":[{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"},{"first_name":"Michael","last_name":"Field","full_name":"Field, Michael"},{"last_name":"Golubitsky","full_name":"Golubitsky, Martin","first_name":"Martin"},{"first_name":"Jun","full_name":"Ma, Jun","last_name":"Ma"},{"first_name":"Andreas","full_name":"Hohmann, Andreas","last_name":"Hohmann"}],"date_created":"2020-04-15T09:04:16Z","date_updated":"2022-01-06T06:52:52Z","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>","short":"M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal of Bifurcation and Chaos (1995) 1243–1247.","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} }","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>.","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>.","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>"},"page":"1243-1247","year":"1995","publication_status":"published","publication_identifier":{"issn":["0218-1274","1793-6551"]}},{"publication":"International Journal of Bifurcation and Chaos","type":"journal_article","abstract":[{"lang":"eng","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>"}],"status":"public","_id":"16551","department":[{"_id":"101"}],"user_id":"15701","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published","year":"1995","page":"1487-1501","citation":{"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.","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>.","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>","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>","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>.","short":"M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart, International Journal of Bifurcation and Chaos (1995) 1487–1501.","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} }"},"date_updated":"2022-01-06T06:52:52Z","date_created":"2020-04-15T09:05:30Z","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Golubitsky, Martin","last_name":"Golubitsky","first_name":"Martin"},{"full_name":"Hohmann, Andreas","last_name":"Hohmann","first_name":"Andreas"},{"first_name":"Ian","last_name":"Stewart","full_name":"Stewart, Ian"}],"title":"Spirals in Scalar Reaction–Diffusion Equations","doi":"10.1142/s0218127495001149"},{"status":"public","publication":"Normal Forms and Homoclinic Chaos","type":"book_chapter","language":[{"iso":"eng"}],"_id":"16611","department":[{"_id":"101"}],"user_id":"15701","year":"1995","place":"Providence, Rhode Island","citation":{"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>","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>.","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>","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>.","short":"M. Golubitsky, J. Marsden, I. Stewart, M. 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The equivariant Darboux theorem. <i>Lectures in Applied Mathematics</i>, <i>29</i>, 163–169."},"title":"The equivariant Darboux theorem","date_updated":"2022-01-06T06:53:02Z","volume":29,"date_created":"2020-05-19T09:04:09Z","author":[{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"}]},{"status":"public","type":"book_chapter","publication":"Bifurcation and Symmetry","language":[{"iso":"eng"}],"_id":"16546","user_id":"15701","department":[{"_id":"101"}],"place":"Basel","year":"1992","citation":{"ieee":"M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,” in <i>Bifurcation and Symmetry</i>, Basel, 1992.","chicago":"Dellnitz, Michael, Martin Golubitsky, and Ian Melbourne. “Mechanisms of Symmetry Creation.” In <i>Bifurcation and Symmetry</i>. Basel, 1992. <a href=\"https://doi.org/10.1007/978-3-0348-7536-3_9\">https://doi.org/10.1007/978-3-0348-7536-3_9</a>.","ama":"Dellnitz M, Golubitsky M, Melbourne I. 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