Topological Degree Approach to Bifurcation Problems

• Main Author: Fečkan, Michal (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2008.
• Series: Topological Fixed Point Theory and Its Applications ; 5
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Topology.; Mechanics.; Vibration.; Dynamical systems.; Analysis.; Dynamical Systems and Ergodic Theory.; Vibration, Dynamical Systems, Control.

Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topologica...

Table of Contents:

• Theoretical Background
• Bifurcation of Periodic Solutions
• Bifurcation of Chaotic Solutions
• Topological Transversality
• Traveling Waves on Lattices
• Periodic Oscillations of Wave Equations
• Topological Degree for Wave Equations.