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Elements of applied bifurcation theory
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| Auteur principal : | |
|---|---|
| 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