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;
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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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