Experimental Evidences of Shil'nikov Chaos and Mixed-mode Oscillation in Chua Circuit

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Author(s): Syamal Kumar Dana (Indian Institute of Chemical Biology, India)and Satyabrata Chakraborty (Indian Institute of Chemical Biology, India)
Copyright: 2011
Pages: 14
Source title: Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption
Source Author(s)/Editor(s): Santo Banerjee (Politecnico di Torino, Italy)
DOI: 10.4018/978-1-61520-737-4.ch005

Keywords: Information Science Reference / Information Security & Privacy / IT Security and Ethics / Security & Forensics

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Abstract

Experimental evidences of Shil’nikov type homoclinic chaos and mixed mode oscillations are presented 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. The authors observed transition from large amplitude limit cycle to homoclinic chaos via a sequence of mixed-mode oscillations interspersed by chaotic states by tuning a control parameter.

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Experimental Evidences of Shil'nikov Chaos and Mixed-mode Oscillation in Chua Circuit

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