Elements of applied bifurcation theory /
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Author / Creator: | Kuznet͡sov, I͡U. A. (I͡Uriĭ Aleksandrovich) |
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Edition: | 2nd ed. |
Imprint: | New York : Springer, 1998. |
Description: | xix, 591 p. : ill. ; 24 cm. |
Language: | English |
Series: | Applied mathematical sciences ; 112 Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 112. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/3902747 |
Table of Contents:
- 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.