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Network dynamics of coupled Chua circuits: comparison of different coupling elements

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Abstract

The dynamics of coupled chaotic circuits have particular importance in many applications. The Chua circuit is a well-known chaotic circuit that has been applied in various studies. In this paper, we investigate the network of Chua circuits in different coupling schemes. We consider three cases where the circuits are coupled through resistors, memristors, and inductors. The synchronization behavior of the network is examined for each case. It is observed that the nonstationary chimera is formed in coupled circuits in all coupling schemes. Complete synchronization can be achieved only in resistive coupling. In memristive coupled circuits, increasing the coupling strength leads to the instability of the network, while in the inductor coupling, the synchronization appears only among two variables, and the third variable cannot be synchronized.

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Acknowledgements

This work was funded by the Design and Development of Intelligent Workshop Production Information Cloud Platform, CCIT, Grant No. KYPT202103G.

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Authors and Affiliations

  1. School of Electronic Engineering, Changzhou College of Information Technology, Changzhou, 213164, China

    Rending Lu

  2. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet-Thanh Pham

  3. School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China

    Mo Chen & Quan Xu

Authors
  1. Rending Lu
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  2. Viet-Thanh Pham
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  3. Mo Chen
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  4. Quan Xu
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Correspondence to Viet-Thanh Pham.

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Lu, R., Pham, VT., Chen, M. et al. Network dynamics of coupled Chua circuits: comparison of different coupling elements. Eur. Phys. J. Spec. Top. 231, 4007–4015 (2022). https://doi.org/10.1140/epjs/s11734-022-00632-4

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  • DOI: https://doi.org/10.1140/epjs/s11734-022-00632-4

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