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
收藏
页码：2775 / 2795
页数：21
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