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具有时迟的Volterra方程的周期解分歧现象
BIFURCATION OF PERIODIC SOLUTION IN VOLTERRA EQUATION WITH FINITE DELAY
【摘要】 本文考虑具有时迟的Volterra方程其中α,β,δ,γ为正常数.给出方程(E)出现周期解分歧现象的条件并给出重要参数μ(ε),T(ε),β(ε)的计算方法.
【Abstract】 The authors investigate the following Volterra equation where α, β, δ, γ are positive constans. Some conditions under which bifurcation phenomenon occurs to the solutions of Equation (E), and the computaion formulae for determining the direction of the Hopf bifurcation are obtained.
【关键词】 Hopf分歧;
内积;
直接和;
Poincare标准型;
周期解;
【Key words】 Hopf bifurcation; Periodic solution; Direct sum; Inner product;
【Key words】 Hopf bifurcation; Periodic solution; Direct sum; Inner product;
【基金】 吉林省教委基金(吉教合字(99)第42号)资助的项目.
- 【文献出处】 数学年刊A辑(中文版) ,Chinese Annals of Mathematics,series A , 编辑部邮箱 ,2001年06期
- 【分类号】O175
- 【被引频次】8
- 【下载频次】45