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Lag synchronization of multiple identical Hindmarsh–Rose neuron models coupled in a ring structure

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Abstract

Lag synchronization of multiple identical Hindmarsh–Rose neuron systems coupled in a ring structure is investigated. In the coupled systems, each neuron receives signals only via synaptic strength from the nearest neighbors. Based on the Lyapunov stability theory, the sufficient conditions for synchronization of the multiple systems with chaotic bursting behavior can be obtained. The synchronization condition about the control parameter g is also obtained by numerical method. Finally, numerical simulations are provided to show the effectiveness of the developed methods.

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Authors and Affiliations

  1. School of Mathematical Sciences, Yancheng Teachers University, Yancheng, 224002, China

    Zuolei Wang & Xuerong Shi

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  1. Zuolei Wang
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  2. Xuerong Shi
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Correspondence to Zuolei Wang.

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Wang, Z., Shi, X. Lag synchronization of multiple identical Hindmarsh–Rose neuron models coupled in a ring structure. Nonlinear Dyn 60, 375–383 (2010). https://doi.org/10.1007/s11071-009-9602-0

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  • DOI: https://doi.org/10.1007/s11071-009-9602-0

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