Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback

Hongray, Thotreithem and Balakrishnan, Janaki (2016) Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback. Chaos: An interdisciplinary Journal of Nonlinear Science, 26 (123107). p. 123107. ISSN 1054-1500

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    Abstract: A detailed study is performed on the parameter space of the mechanical system of a driven pendulum with damping and constant torque under feedback control. We report an interesting bow-tie shaped bursting oscillatory behaviour, which is exhibited for small driving frequencies, in a certain parameter regime, which has not been reported earlier in this forced system with dynamic feedback. We show that the bursting oscillations are caused because of a transition of the quiescent state to the spiking state by a saddle-focus bifurcation, and because of another saddle-focus bifurcation, which leads to cessation of spiking, bringing the system back to the quiescent state. The resting period between two successive bursts (Trest) is estimated analytically.
    Item Type: Article
    Subjects: School of Natural and Engineering Sciences > Mathematical Modeling
    Programmes > Complex Systems Programme
    Divisions: Schools > Natural Sciences and Engineering
    Date Deposited: 09 Dec 2016 10:29
    Last Modified: 09 Dec 2016 10:29
    URI: http://eprints.nias.res.in/id/eprint/1204

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