Homoclinic bifurcation in Chua's circuit

Dana, S. K. ; Chakraborty, S. ; Ananthakrishna, G. (2005) Homoclinic bifurcation in Chua's circuit Pramana - Journal of Physics, 64 (3). pp. 443-454. ISSN 0304-4289

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Official URL: http://www.ias.ac.in/pramana/v64/p443/fulltext.pdf

Related URL: http://dx.doi.org/10.1007/BF02704570


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:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Chua's Circuit; Asymmetry; Mixed Mode Oscillations; Homoclinic Chaos; Bursting
ID Code:538
Deposited On:21 Sep 2010 11:46
Last Modified:16 May 2016 11:44

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