Chaotic and hyperchaotic dynamics in Chua’s circuits: The Adomian decomposition approach

In the field of electrical engineering, it is well-known that Chua´s circuit represents a paradigm for studying chaotic phenomena. This paper focuses on the numerical study of chaotic and hyperchaotic dynamics in Chua´s circuits via the Adomian decomposition method. The approach, which provides series solutions of the system equations, is first applied to the single Chua´s circuit with cubic nonlinearity. Then the method is successfully utilized for analyzing hyperchaotic multi-scroll attractors generated in two coupled Chua´s circuits with Hermite interpolating polynomials as nonlinearities. The reported examples show that the proposed approach presents two main features, i.e., the system nonlinearity is preserved and the chaotic solution is provided in a closed form.