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題名: | Frequency Locking and Complex Dynamics Near a Periodically Forced Robust Heteroclinic Cycle |
作者: | Dawes, J. H. P.;Tsai, Tsung-Lung |
貢獻者: | 數學系 |
日期: | 2006
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上傳時間: | 2013-02-05T03:07:55Z
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出版者: | The American Physical Society |
摘要: | 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. |
關聯: | Physical Review E, 74(5): 055201 |
顯示於類別: | [數學系] 期刊論文
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