Induced Synchronization of Chaos-Chaos Intermittency in Coupled Cubic Maps by External Feedback Signals

Abstract

In coupled chaotic systems, chaos synchronization is widely observed under the condition with specific coupled forms, such as complete, phase, and generalized synchronizations. Recently, several methods for controlling this chaos synchronization by a nonlinear feedback controller have been proposed. In this study, by focusing on coupled cubic maps, we developed a new method to control synchronization of chaos–chaos intermittency by a nonlinear feedback controller to adjust the range of existence of chaotic orbits. Through the evaluation of the dependence of system behaviors on the feedback strength and the coupled strength, we confirmed that the synchronization of chaos–chaos intermittency could be induced by this nonlinear feedback controller. Especially, the degree of synchronization becomes high at the edge between the parameter region of the feedback strength of chaos–chaos intermittency and the region of nonchaos–chaos intermittency.