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
收藏
页码：115 / 136
页数：22
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