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. In: CHAOS, 26 (12).

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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 (T-rest) is estimated analytically. Published by AIP Publishing.

Item Type:	Journal Article
Publication:	CHAOS
Additional Information:	Copy right for this article belongs to the AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	17 Feb 2017 04:57
Last Modified:	15 Oct 2018 14:21
URI:	http://eprints.iisc.ac.in/id/eprint/56255

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