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Optimizing calculations of coupling matrix in Hindmarsh–Rose neural network

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Abstract

In this paper, to research the relationship between network synchronous dynamics and the optimal coupling mode, we have constructed the coupled network structure with the Hindmarsh–Rose (HR) neuron cells as the unit and found out the optimal coupling matrix, by using the chaos ant swarm optimization (CASO) algorithm. Some typical coupled networks from all the coupled configurations are selected for analysis. Furthermore, to further verify the results of the optimization algorithm, a network of 42 cell units is constructed and the synchronization behavior is compared in both the optimization and non-optimized coupling topology. Our results indicate that proper coupling matrix of HR neural network could be obtained by means of CASO algorithm.

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Acknowledgments

This work is supported by the National Natural Science and special Found for the Theoretical Physics of China (21103002, 11047017), the Natural Science Funds of Anhui Province of China (No. 1508085MA15).

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Authors and Affiliations

  1. College of Physics and Electronic Information, Anhui Normal University, Wuhu, 241000, Anhui, People’s Republic of China

    Jiqian Zhang, Shoufang Huang, Sitao Pang, Maosheng Wang & Sheng Gao

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  1. Jiqian Zhang
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  2. Shoufang Huang
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  3. Sitao Pang
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  4. Maosheng Wang
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  5. Sheng Gao
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Correspondence to Jiqian Zhang.

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Zhang, J., Huang, S., Pang, S. et al. Optimizing calculations of coupling matrix in Hindmarsh–Rose neural network. Nonlinear Dyn 84, 1303–1310 (2016). https://doi.org/10.1007/s11071-015-2569-0

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  • DOI: https://doi.org/10.1007/s11071-015-2569-0

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