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Spatiotemporal dynamics of the network composed of the memristor Chua’s circuits under external excitation

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Abstract

A two-dimensional network composed of non-smooth memristor Chua's circuits is constructed to investigate the effect of external excitation on the evolution of spatiotemporal patterns. The spiral wave can be induced in the network with appropriate initial values and the system’s parameters, and it can be affected by memristor’s coefficient and coupling intensity of network, respectively. The external periodic excitation with appropriate amplitude and frequency is proposed. When the external periodic excitation imposed on different network nodes, the target waves, straight waves, and dimetric waves can be induced. The dynamic of spiral waves influenced by local external periodic excitation is explored by simulating the interaction between the spiral waves and three other types of waves generated by external periodic excitation. The spiral waves will be eliminated when the external periodic excitation is imposed on four network boundaries. In addition, the spatiotemporal patterns under noise perturbation are also studied. With the increase in noise intensity, the spiral waves will be more thoroughly eliminated. However, the dimetric waves are more stable than target waves and straight waves at the exact condition of noise intensity.

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Acknowledgements

The authors express sincerely appreciation to the anonymous reviewers for their efforts in reviewing the manuscript. This work is supported by National Natural Science Foundation of China (Grant Nos. 11872327 and 51777180) and Natural Science Research Project of Jiangsu Colleges and Universities (20KJA190001).

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The funding was provided by National Natural Science Foundation of China (Grant Nos. 11872327 and 51777180) and Natural Science Research Project of Jiangsu Colleges and Universities (20KJA190001)

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  1. School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, 224002, China

    Lizhou Zhuang, Xuerong Shi & Zuolei Wang

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Zhuang, L., Shi, X. & Wang, Z. Spatiotemporal dynamics of the network composed of the memristor Chua’s circuits under external excitation. Nonlinear Dyn 112, 10433–10449 (2024). https://doi.org/10.1007/s11071-024-09601-z

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