Elements of applied bifurcation theory

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Auteur principal : Kuznetsov Iurii Aleksandrovich (Auteur)
Format : Livre
Langue : anglais
Titre complet : Elements of applied bifurcation theory / Yuri Kuznetsov
Édition : Third edition
Publié : New York : Springer , cop. 2004
Description matérielle : 1 vol. (XXII-631 p.)
Collection : Applied mathematical sciences ; 112
Sujets :
  • 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