Titlebook: Introduction to Black Hole Astrophysics; Gustavo E. Romero,Gabriela S. Vila Book 2014 Springer-Verlag Berlin Heidelberg 2014 AGN Jets.Acti

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ssible, only elementary mathematical tools are used. For example, we do not try to present normal form theory in full generality, instead developing only the portion of the technique sufficient for our purposes. The book aims to provide the student (or researcher) with both a solid basis in dynamica

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Gustavo E. Romero,Gabriela S. Vilafor the continuation and analysis of homoclinic bifurcations. The bibliographical notes in Appendix 3 include references to standard noninteractive software packages and interactive programs available for continuation and bifurcation analysis of dynamical systems. Actually, the main goal of this cha

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Gustavo E. Romero,Gabriela S. Vilaods. 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 the detection of higher-order homoclinic bifurcations. The bibliographical notes in Appendix D include references to stan

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Gustavo E. Romero,Gabriela S. Vilanvariant formulas for the critical normal form coefficients at all studied codimension 1 bifurcations of equilibria and fixed points. In Appendix A we consider a reaction-diffusion system on an interval to illustrate the necessary modifications of the technique to handle infinite-dimensional systems

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Gustavo E. Romero,Gabriela S. Vilaf bifurcations 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

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