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Synchronization of spatiotemporal chaos in complex networks via backstepping |
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| Authors: | Chai Yuan L? Ling Chen Li-Qun |
| Affiliation: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Department of Mechanics, Shanghai University, Shanghai 200444, China |
| Abstract: | A backstepping approach is proposed for the synchronization of chain networks of multi-spatiotemporal chaotic systems with topologically equivalent structures. The synchronization of multi-spatiotemporal chaotic systems is implemented by adding the control only to a terminal node, and the controller is designed via a corresponding update law. The control law is applied to spatiotemporal Gray-Scott systems. Numerical results demonstrate the effectiveness and the feasibility of the proposed approach. |
| Keywords: | spatiotemporal chaos backstepping design Lyapunov function chain complex networks |
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