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Synchronization of spatiotemporal chaos in complex networks via backstepping |
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| Authors: | Chai Yuan a Lü Ling b and Chen Li-Qun |
| Institution: | a)c) a) Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China b) College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China c) 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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