Frequency locking and complex dynamics near a periodically forced robust heteroclinic cycle

J. H.P. Dawes, T. L. Tsai

研究成果: Article

8 引文 斯高帕斯(Scopus)

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.

原文English
文章編號055201
期刊Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
74
發行號5
DOIs
出版狀態Published - 2006 十一月 13

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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