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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15558

Title: Frequency Locking and Complex Dynamics Near a Periodically Forced Robust Heteroclinic Cycle
Authors: Dawes, J. H. P.;Tsai, Tsung-Lung
Contributors: 數學系
Date: 2006
Issue Date: 2013-02-05T03:07:55Z
Publisher: The American Physical Society
Abstract: Robust heteroclinic cycles occur naturally in many classes of nonlinear differential equations with invariant hyperplanes. In particular they occur frequently in models for ecological dynamics and fluid mechanical instabilities. We consider the effect of small-amplitude time-periodic forcing and describe how to reduce the dynamics to a two-dimensional map. In the limit where the heteroclinic cycle loses asymptotic stability, intervals of frequency locking appear. In the opposite limit, where the heteroclinic cycle becomes strongly stable, the dynamics remains chaotic and no frequency locking is observed.
Relation: Physical Review E, 74(5): 055201
Appears in Collections:[數學系] 期刊論文

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