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Homoclinic bifurcation in Chua's circuit

Dana, SK and Chakraborty, S and Ananthakrishna, G (2005) Homoclinic bifurcation in Chua's circuit. In: Pramana - Journal of Physics, 64 (3). pp. 443-454.

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Official URL: http://www.ias.ac.in/pramana/v64/p443/abs.htm

Abstract

We report our experimental observations of the Shil'nikov-type homoclinic chaos in asymmetry-induced Chua's oscillator. The asymmetry plays a crucial role in the related homoclinic bifurcations. The asymmetry is introduced in the circuit by forcing a DC voltage. For a selected asymmetry, when a system parameter is controlled, we observed transition from large amplitude limit cycle to homoclinic chaos via a sequence of periodic mixed-mode oscillations interspersed by chaotic states. Moreover, we observed two intermediate bursting regimes. Experimental evidences of homoclinic chaos are verified with PSPICE simulations.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Indian Academy Sciences.
Keywords: Mixed-Mode Oscillations;Chaos;Synchronization;Systems;Emergence;Dynamics;Behavior;Spiking;Orbits
Department/Centre: Division of Chemical Sciences > Materials Research Centre
Date Deposited: 20 Aug 2009 09:25
Last Modified: 19 Sep 2010 04:55
URI: http://eprints.iisc.ernet.in/id/eprint/17143

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