Chaotic dynamics of the fractional Chua’s circuit: Time-domain analysis via decomposition method

This paper focuses on the time-domain analysis of the chaotic dynamics of the fractional-order Chua's circuit. In particular, the nonlinear fractional differential equations of the circuit are solved via the Adomian decomposition method. The approach, which provides an analytic solution in the form of a time series, leads to identify a novel bifurcation parameter, that is, the fractional order q of the time derivative. Additionally, the paper shows that the solution of the fractional Chua's circuit can be written in a closed form, demonstrating that the approach is an effective tool for studying fractional chaotic systems.