Loss of periodic synchronization in unidirectionally coupled nonlinear systems

초록

We have studied desynchronization of the perfectly synchronous periodic orbits of unidirectionally coupled nonlinear systems with a period doubling route to chaos, such as coupled logistic maps and coupled diode resonator circuits. Two different desynchronization mechanisms of a synchronous periodic attractor of the coupled subsystem have been found: one via period doubling bifurcation and the other via transcritical bifurcation. Following a period doubling route to chaos, the periodic orbit of the response subsystem is chaotic after the desynchronization. We show that our results are useful for understanding loss of chaotic synchronization in these unidirectionally coupled systems.

키워드