Titlebook: Elements of Applied Bifurcation Theory; Yuri A. Kuznetsov Book 20043rd edition Springer Science+Business Media New York 2004 Mathematica.a

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Ben Gidley,Peter Scholten,Ilona van Breugelurcations in symmetric systems, which are those systems that are invariant with respect to the representation of a certain symmetry group. After giving some general results on bifurcations in such systems, we restrict our attention to bifurcations of equilibria and cycles in the presence of the simp

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https://doi.org/10.1007/978-981-19-1794-3. Appendix B gives some background information on the bialternate matrix product used to detect Hopf and Neimark-Sacker bifurcations. Appendix C presents numerical methods for detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix D include references to standard no

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0066-5452 were new become standard and routinely used by the research and development community. Hopefully, this edition of the book will contribute to this process. The978-1-4757-3978-7Series ISSN 0066-5452 Series E-ISSN 2196-968X

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One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems, possible dimension in which they can occur: the fold and flip bifurcations for scalar systems and the Neimark-Sacker bifurcation for planar systems. In Chapter 5 it will be shown how to apply these results to .-dimensional systems when . is larger than one or two, respectively.

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0066-5452 nt the material made sense. The idea was to write a simple text that could serve as a seri- ous introduction to the subject. Of course, the meaning of "simplicity" varies from person to person and from country to country. The word "introduction" contains even more ambiguity. To start reading this bo