Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance

Abstract

Chua’s circuits, which were introduced by Leon Ong Chua in 1983, are simplest electric circuits operating in the mode of chaotic oscillations. Systems of differential equations describing the behavior of Chua’s circuits are three-dimensional autonomous dynamical systems with scalar nonlinearity. In the standard Chua system, chaotic oscillations are excited in the classical manner, namely, starting from the neighborhood of the unstable zero equilibrium, after the transient process, the system trajectory tends to a Chua attractor.