Cross-separatrix flux in time-aperiodic and time-impulsive flows
نویسندگان
چکیده
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 timedependence 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. Mathematics Subject Classification: 34C37, 76R99, 34A37 (Some figures in this article are in colour only in the electronic version)
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تاریخ انتشار 2006