Topological Degree Approach to Bifurcation Problems by Michal Feckan

Topological Degree Approach to Bifurcation Problems

Michal Feckan
RRP $226.95 Save 24%! ($54.75)
Price $172.20 with FREE shipping!
Buy this and get 173 Nile Miles
Ships from USA Expected delivery Aug 31 – Sep 04
User Rating
Rating saved


  • ISBN
    9789048179695 / 9048179696
  • Title Topological Degree Approach to Bifurcation Problems
  • Author Michal Feckan
  • Category Topology
  • Format
  • Year 2010
  • Pages 272
  • Publisher
  • Imprint Springer
  • Edition
  • 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.

Publisher Description

1. 1 Preface Many phenomena from physics, biology, chemistry and economics are modeled by di?erential equations with parameters. When a nonlinear equation is est- lished, its behavior/dynamics should be understood. In general, it is impossible to ?nd a complete dynamics of a nonlinear di?erential equation. Hence at least, either periodic or irregular/chaotic solutions are tried to be shown. So a pr- erty of a desired solution of a nonlinear equation is given as a parameterized boundary value problem. Consequently, the task is transformed to a solvability of an abstract nonlinear equation with parameters on a certain functional space. When a family of solutions of the abstract equation is known for some para- ters, the persistence or bifurcations of solutions from that family is studied as parameters are changing. There are several approaches to handle such nonl- ear bifurcation problems. One of them is a topological degree method, which is rather powerful in cases when nonlinearities are not enough smooth. The aim of this book is to present several original bifurcation results achieved by the author using the topological degree theory.
The scope of the results is rather broad from showing periodic and chaotic behavior of non-smooth mechanical systems through the existence of traveling waves for ordinary di?erential eq- tions on in?nite lattices up to study periodic oscillations of undamped abstract waveequationsonHilbertspaceswithapplicationstononlinearbeamandstring partial di?erential equations. 1.

Write a review

(never shown publicly)

Topological Degree Approach to Bifurcation Problems