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Homoclinic bifurcation in Chua's circuit

IR@IICB: CSIR-Indian Institute of Chemical Biology, Kolkata

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Title Homoclinic bifurcation in Chua's circuit
Creator Dana, Syamal Kumar
Chakraborty, S
Ananthakrishna, G
Subject Nonlinear Dynamics
Description 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 inter- mediate bursting regimes. Experimental evidences of homoclinic chaos are veri¯ed with PSPICE simulations.
Date 2005
Type Article
Format application/pdf
Identifier http://www.eprints.iicb.res.in/518/1/PRAMANA%2DJOURNAL_OF_PHYSICS__64(_3_)_443%2D454;2005[8].pdf
Dana, Syamal Kumar and Chakraborty, S and Ananthakrishna, G (2005) Homoclinic bifurcation in Chua's circuit. Pramana - Journal of Physics, 64 (3). pp. 443-454.
Relation http://dx.doi.org/10.1007/BF02704570