Chaos in a Circuit System with Ferroelectric Capacitor

Abstract

Chaos depends on the random parameters are explored in circuit system with ferroelectric capacitor in this article. A random parameter is considered to characterize the random factors in this kind of capacitor. After we reduce the nonlinear circuit system with random parameter into the equivalent deterministic system by orthogonal polynomial approximation, the available effective numerical methods is applied to obtain the responses of the equivalent deterministic circuit system. Then by numerical simulations, we systematically explore the effect of the random parameter on chaos, and find the intensity of random parameter can present the rich and colorful structures of chaotic attractors.