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
收藏
页码：684 / 716
页数：33
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