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Elements of applied bifurcation theory / Yuri Kuznetsov

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Auteur principal: Kuznetsov, Iurii Aleksandrovich, 1957-...., AuteurLangue : anglaisPays : Etats-Unis.Mention d'édition: Third editionPublication : New York : Springer, cop. 2004Description: 1 vol. (XXII-631 p.), fig., 24 cmISBN : 0387219064; 978-0-387-21906-6.Collection: Applied mathematical sciences, 112Bibliographie : Bibliogr. p. [599]-618. Index.Sujet - Nom commun: Bifurcation theory | Bifurcation, Théorie de la
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Ouvrage Ouvrage La bibliothèque de l'ESPCI Laboratoire LPMMH-016 (Browse shelf(Opens below)) Available LPMMH-016

Bibliogr. p. [599]-618. Index

1. Introduction to dynamical systems 2. Topological equivalence, bifurcations, and structural stability of dynamical systems 3. One-parameter bifurcations of equilibria in continuous-time dynamical systems 4. One-parameter bifurcations of fixed points in discrete-time dynamical systems 5. Bifurcations of equilibria and periodic orbits in n-dimensional dynamical systems 6. Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria 7. Other one-parameter bifurcations in continuous-time dynamical systems 8. Two-parameter bifurcations of equilibria in continuous-time dynamical systems 9. Two-parameter bifurcations of fixed points in discrete-time dynamical systems 10. Numerical analysis of bifurcations A. Basic notions from algebra, analysis, and geometry