Conventional multipliers for homoclinic orbits

被引：10

作者：

Afraimovich, V ^{[1
]}

Liu, WS ^{[1
]}

Young, T ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

来源：

NONLINEARITY | 1996年 / 9卷 / 01期

关键词：

D O I：

10.1088/0951-7715/9/1/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we introduce and describe conventional multipliers, a new characteristic of homoclinic orbits of saddle-node type periodic trajectories. We prove existence and smooth dependence of conventional multipliers on the initial point. We show that multipliers of periodic trajectories arising from the homoclinic ones as a result of the saddle-node bifurcation are close to the conventional multipliers. As an application we study behavior of a circle map inside the 'Arnold tongues'.

引用

页码：115 / 136

页数：22

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