Periodic monotone systems having one-dimensional dynamics

被引：0
|
作者：
Luis A. Sanchez
机构：
[1] Universidad Politécnica de Cartagena,Departamento de Matemática Aplicada y Estadística, Escuela Universitaria de Ingeniería Técnica Civil
来源：
Archiv der Mathematik | 2010年 / 94卷
关键词：
34D23; 34C12; Cooperative systems; Perodic solutions; Convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish a criterion for a periodic monotone system to display a fully one dimensional dynamical behavior. This criterion is based on the existence of a Lyapunov function acting on differences of unordered solutions. The main consequence is the convergence of every solution to a periodic one.
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页码：235 / 243
页数：8
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