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Singular perturbation analysis in a coupled Chua's circuit with diffusion
1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, People's Republic of China.
Abstract:
This paper is concerned with the traveling wave solutions of a singularly perturbed system, which arises from the coupled arrays of Chua's circuit. By the geometric singular perturbation theory and invariant manifold theory, we prove that there exists a heteroclinic cycle consisting of the traveling front and back waves with the same wave speed. In particular, the expression of corresponding wave speed is also obtained. Furthermore, we show that the chaotic behavior induced by this heteroclinic cycle is hyperchaos.
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