Dynamics near a periodically forced robust heteroclinic cycle

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Abstract

In this article we discuss, with a combination of analytical and numerical results, a canonical set of differential equations with a robust heteroclinic cycle, subjected to time-periodic forcing. We find that three distinct dynamical regimes exist, depending on the ratio of the contracting and expanding eigenvalues at the equilibria on the heteroclinic cycle which exists in the absence of forcing. By reducing the dynamics to that of a two dimensional map we show how frequency locking and complex dynamics arise.
Original languageEnglish
Article number012057
JournalJournal of Physics: Conference Series
Volume286
Issue number1
DOIs
Publication statusPublished - 2011
Event1st Condensed Matter and Materials Physics Conference, CMMP10 - Warwick, UK United Kingdom
Duration: 14 Dec 201016 Dec 2010

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cycles
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differential equations
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Dynamics near a periodically forced robust heteroclinic cycle. / Tsai, T L; Dawes, Jonathan H P.

In: Journal of Physics: Conference Series, Vol. 286, No. 1, 012057, 2011.

Research output: Contribution to journalArticle

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