Chaos and Control in Josephson system with two external forcing terms

Abstract

In this paper, Josephson system with two external forcing terms is investigated. By applying numerical simulations, including phase portraits, potential diagram, bifurcation diagrams and maximal Lyapunov exponents, the nonlinear behavior and the complex dynamics in Josephson system with the two external forcing terms are analyzed. At last, three kinds of methods are applied to control the chaotic behaviors, effectively to stable periodic orbits.