Impulsive synchronization of time delay bursting neuron systems with unidirectional coupling |
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| Authors: | Zuolei Wang Yaolin Jiang Hongli Li |
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| Affiliation: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, China;2. School of Mathematical Sciences, Yancheng Teachers University, Yancheng, China |
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| Abstract: | In the article, impulsive synchronization of chaotic bursting in Hindmarsh–Rose neuron systems with time delay via partial state signal is investigated. Based on impulsive control theory of dynamical systems, the sufficient conditions on feedback strength and impulsive interval are established to guarantee the synchronization. Numerical simulations show the effectiveness of the proposed scheme. The obtained results may be helpful to understand dynamical mechanism of signal transduction in real neuronal activity. © 2014 Wiley Periodicals, Inc. Complexity 21: 38–46, 2015 |
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| Keywords: | chaotic bursting impulsive synchronization Hindmarsh– Rose system time delay |
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