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Adaptive lag synchronization in coupled chaotic systems with unidirectional delay feedback |
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| Authors: | Qing Yun Wang Qi Shao Lu |
| Institution: | a School of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot 010051, China b School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China c State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China |
| Abstract: | Lag synchronization in unidirectionally coupled chaotic systems is investigated in this paper. Based on the invariance principle of differential equations, a new adaptive delay feedback scheme is proposed to realize the lag synchronization effectively in the coupled chaotic systems. As an example, numerical simulations for the coupled Hindmarsh-Rose (HR) neuron models are conducted, which is in good agreement with the theoretical analysis. More interestingly, it is found that there is a fine U-shaped structure in the lag synchronization curve for the HR neuron model. Furthermore, lag synchronization and the corresponding U-shaped structure are robust against the small mismatch of parameters and noisy disturbances. |
| Keywords: | Lag synchronization Chaotic systems HR neuron model Lag synchronization curve |
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