Cross-separatrix flux in time-aperiodic and time-impulsive flows

被引：18

作者：

Balasuriya, Sanjeeva ^{[1
]}

机构：

[1] Connecticut Coll, Dept Math, New London, CT 06320 USA

来源：

NONLINEARITY | 2006年 / 19卷 / 12期

关键词：

D O I：

10.1088/0951-7715/19/12/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A theory for the fluid flux generated across heteroclinic separatrices under the influence of time-aperiodic perturbations is presented. The flux is explicitly defined as the amount of fluid transferred per unit time, and its detailed time-dependence monitored. The perturbations are allowed to be significantly discontinuous in time, including for example impulsive (Dirac delta type) discontinuities. The flux is characterized in terms of time-varying separatrices, with easily computable formulae (directly related to Melnikov functions) provided.

引用

页码：2775 / 2795

页数：21

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