CHUA'S CIRCUIT AS A SLOW-FAST AUTONOMOUS DYNAMICAL SYSTEM

Abstract

We apply the singular perturbation method to Chua's equations, considered as a slow-fast autonomous dynamical system (S-FADS). An algorithm available for most nonlinear S-FADS generalizes the singular perturbation method, gives the nth-order approximation equations, and allows us to go further with a qualitative study. This algorithm is applied to the Chua's system in a very simple way. Indeed, because this system is integrable, it is possible to compute explicitly the slow and fast dynamics for a better understanding of the nonlinear cases.