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Homoclinic bifurcation in Chua’s circuit
Authors:S. K. Dana  S. Chakraborty  G. Ananthakrishna
Affiliation:(1) Material Research Centre and Centre for Condensed Matter Physics, Indian Institute of Science, 560 016 Bangalore, India
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.
Keywords:Chua’  s circuit  asymmetry  mixed mode oscillations  homoclinic chaos  bursting
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