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Spatiotemporal patterns of the network composed of modified Chua’s circuits with distributed coupling

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Abstract

To further investigate the formation mechanism of spatiotemporal patterns, a network which is composed of modified Chua’s circuits is constructed. The dynamics of the modified Chua’s circuit with appropriate parameters are presented via numerical computation and circuit simulation. The spatiotemporal patterns of the regular network and the network with distributed coupling are studied, respectively. Spiral wave can be induced in the network on the condition of initial values. The spread speed of the spiral wave in the regions with larger coupling intensity is faster than those regions with smaller coupling intensity, which could result in spiral waves in different regions having different shapes. Various interesting spatiotemporal patterns can be formed in the network under the influence of distributed coupling and initial conditions. In addition, the spatiotemporal patterns in the network with distributed coupling under external periodic excitation and noise perturbation are studied, respectively.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data will be made available on reasonable request].

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

    Lizhou Zhuang, Xuerong Shi & Zuolei Wang

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  1. Lizhou Zhuang
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Zhuang, L., Shi, X. & Wang, Z. Spatiotemporal patterns of the network composed of modified Chua’s circuits with distributed coupling. Eur. Phys. J. Plus 139, 194 (2024). https://doi.org/10.1140/epjp/s13360-024-04969-8

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