EXISTENCE OF NONSTATIONARY PERIODIC SOLUTIONS FOR Γ-SYMMETRIC LOTKA-VOLTERRA TYPE SYSTEMS

被引：3
|
作者：
Hirano, Norimichi [1 ]
Krawcewicz, Wieslaw [2 ,3 ]
Ruan, Haibo [2 ,3 ]
机构：
[1] Yokohama Natl Univ, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 240, Japan
[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
[3] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 30卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Autonomous functional differential equations; periodic solutions; equivariant degree;
D O I：
10.3934/dcds.2011.30.709
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a general framework for applications of the twisted equivariant degree (with one free parameter) to an autonomous Gamma-symmetric system of functional differential equations in order to detect and classify (according to their symmetric properties) its periodic solutions. As an example we establish the existence of multiple non-constant periodic solutions of delay Lotka-Volterra equations with Gamma-symmetries. We also include some computational examples for several finite groups Gamma.
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页码：709 / 735
页数：27
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