LOBE AREA IN ADIABATIC HAMILTONIAN-SYSTEMS

被引：29

作者：

KAPER, TJ

WIGGINS, S

机构：

来源：

PHYSICA D | 1991年 / 51卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(91)90233-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an analytically computable formula based on the adiabatic Melnikov function for lobe area in one-degree-of-freedom Hamiltonian systems depending on a parameter which varies slowly in time. We illustrate this lobe area result on a slowly, parametrically forced pendulum, a paradigm problem for adiabatic chaos. Our analysis unites the theory of action from classical mechanics with the theory of the adiabatic Melnikov function from the field of global bifurcation theory.

引用

页码：205 / 212

页数：8

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