Stochastic Bifurcation in Generalized Chua's Circuit Through Alpha-Stable Levy Noise

Abstract

In this study, we investigate the changes in the dynamics of generalized Chua's circuit through a-stable Levy noise in the framework of stochastic bifurcation concept. By choosing the noise intensity, characteristic exponent (impulsiveness parameter) and the skewness parameter of the a-stable Levy noise as the bifurcation parameters we have observed the qualitative changes in the stationary probability distributions and in the structures of the stochastic attractors.