A cohomological index of Fuller type for set-valued dynamical systems

被引：2

作者：

Kryszewski, Wojciech ^{[1
]}

Skiba, Robert ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

关键词：

Set-valued map; Poincare map; Differential inclusion; Periodic orbit; Fixed point index; Fuller index; FIXED-POINT INDEX; PERIODIC-ORBITS; CONLEY TYPE;

D O I：

10.1016/j.na.2011.09.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we develop the theory of a cohomological index of the Fuller type detecting periodic orbits of a set-valued dynamical system generated by a differential inclusion or a differential equation without the uniqueness of solutions. The theory presented is applied to establish a general result on the existence of bifurcation of periodic orbits from an equilibrium point of a differential inclusion. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：684 / 716

页数：33

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