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. |
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| Item Type: | Journal Paper |
| 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 |
| Official URL: | http://scitation.aip.org/content/aip/journal/chaos... |
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| Funders: | UNSPECIFIED |
| Projects: | UNSPECIFIED |
| DOI: | 10.1063/1.4971411 |
| URI: | http://eprints.nias.res.in/id/eprint/1204 |
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