| 书目名称 | Topological Degree Approach to Bifurcation Problems |
| 编辑 | Michal Fečkan |
| 视频video | |
| 概述 | Includes (1) Rigorous proofs of chaotic solutions for discontinuous differential equations and differential inclusions (2) Bifurcations of periodic solutions in differential inclusions and systems wit |
| 丛书名称 | Topological Fixed Point Theory and Its Applications |
| 图书封面 |  |
| 描述 | 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 |
| 出版日期 | Book 2008 |
| 关键词 | Boundary value problem; Topology; Vibration; calculus; differential topology; friction; partial differenti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4020-8724-0 |
| isbn_softcover | 978-90-481-7969-5 |
| isbn_ebook | 978-1-4020-8724-0 |
| copyright | Springer Science+Business Media B.V. 2008 |
发表于 2025-3-21 18:08:33
