A deep reinforcement learning method to control chaos synchronization between two identical chaotic systems

• Published in: Chaos, solitons and fractals solitons and fractals, 2023-09, Vol.174, p.113809, Article 113809
• Main Authors: Cheng, Haoxin, Li, Haihong, Dai, Qionglin, Yang, Junzhong
• Format: Article
• Language: English
• Subjects: Chaos synchronization; Continuous control; Deep reinforcement learning; Model-free method
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.113809

We propose a model-free deep reinforcement learning method for controlling the synchronization between two identical chaotic systems, one target and one reference. By interacting with the target and the reference, the agent continuously optimizes its strategy of applying perturbations to the target to synchronize the trajectory of the target with the reference. This method is different from previous chaos synchronization methods. It requires no prior knowledge of the chaotic systems. We apply the deep reinforcement learning method to several typical chaotic systems (Lorenz system, Rössler system, Chua circuit and Logistic map) and its efficiency of controlling synchronization between the target and the reference is demonstrated. Especially, we find that a single learned agent can be used to control the chaos synchronization for different chaotic systems. We also find that the method works well in controlling chaos synchronization even when only incomplete information of the state variables of the target and the reference can be obtained. •A model-free deep reinforcement learning method for controlling chaos synchronization is proposed.•The efficiency of controlling synchronization is demonstrated.•A single learned agent can be used to control the chaos synchronization for different chaotic systems.•The method works well even when only incomplete information of the state variables of the chaotic systems can be obtained.