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.
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Research Article| December 08 2016
Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback
Thotreithem Hongray, Janaki Balakrishnan; Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback. Chaos 1 December 2016; 26 (12): 123107. https://doi.org/10.1063/1.4971411
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