- ISBN 9789048179695 / 9048179696
- Title Topological Degree Approach to Bifurcation Problems
- Author Michal Feckan
- Category Topology
- Format Paperback
- Year 2010
- Pages 272
- Publisher Springer
- Imprint Springer
- Edition 1st
- Language English
- Dimensions 156mm x 234mm x 14mm
This book contains original bifurcation results for the existence of oscillations and chaotic behavior of differential equations and discrete dynamical systems under variation of involved parameters. It studies a broad variety of nonlinear problems.
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 topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs make this book valuable to both the applied sciences and mathematical fields, ensuring the book should also be of interest to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis.