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