Elements of Applied Bifurcation Theory

• Main Author: Kuznetsov, Yuri A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1998.
• Edition: Second Edition.
• Series: Applied Mathematical Sciences, 112
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to e...

Table of Contents:

• to Dynamical Systems
• Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
• One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems
• One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems
• Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems
• Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria
• Other One-Parameter Bifurcations in Continuous-Time Dynamical Systems
• Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems
• Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems
• Numerical Analysis of Bifurcations.