Bifurcations and chaos of coupled Jerk systems

Abstract

Upon the analysis of the equilibrium points as well as the stabilities in coupled Jerk systems, bifurcation sets in parameter space are derived, which divide the parameter space into several regions associated with different forms of dynamics. The dynamical evolution of the coupled system is investigated with the variation of different parameters and specially, the influence of the coupling strength on the dynamics of the system is explored in details. The mechanism of some nonlinear phenomena such as the coexistence of multiple behaviors as well as the sequence of period-doubling bifurcations are presented.