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Dynamics near a periodically forced robust heteroclinic cycle


Reference:

Tsai, T. L. and Dawes, J. H. P., 2011. Dynamics near a periodically forced robust heteroclinic cycle. Journal of Physics: Conference Series, 286 (1), 012057.

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    Official URL:

    http://dx.doi.org/10.1088/1742-6596/286/1/012057

    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.

    Details

    Item Type Articles
    CreatorsTsai, T. L.and Dawes, J. H. P.
    DOI10.1088/1742-6596/286/1/012057
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code24181
    Additional Information1st Condensed Matter and Materials Physics Conference, CMMP10. 14-16 December 2010. Warwick, United Kingdom.

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