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Chaos anti-control of coexisting infinite signals and pinning synchronization of a complex-valued laser chain network

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Abstract

There are many applications of chaos anti-control from its inherent state to the expected chaotic state in different disciplines ranging from engineering to biology and social sciences. This paper studies the dynamical characteristics, chaos anti-control of coexisting attractors, and pinning synchronization of a complex-valued laser chain network (CVLCN). Firstly, a CVLCN based on the complex-valued Lorenz laser systems is developed, and detailed dynamic analyses for the important parameters are executed to obtain significant results of the hyper-chaotic attractors and quasi-periodic attractors, which are confirmed by phase bifurcation diagram, Lyapunov exponent spectrum, the Kaplan–Yorke dimension, and power spectrum. A key point of this paper is the discovery of the coexistence of infinite hyper-chaotic attractors and quasi-periodic attractors. Given the vital role of oscillations and network dynamics in neural processes related to health and disease, the presence of quasi-periodic signals may indicate an irregular brain state. Therefore, a suitable controller is designed to realize intermittent and non-intermittent chaos anti-control of the coexisting infinite quasi-periodic signals. Finally, the pinning controller is designed to achieve the network synchronization by the theoretical and numerical simulation research.

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This manuscript has associated data in a data repository. [Authors' comment: The data that support the findings of this study are available from the corresponding author upon reasonable request.]

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Acknowledgements

This work was supported by the National Nature Science Foundation of China under Grant 61773010 and Taishan Scholar Foundation of Shandong Province ts20190938.

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  1. Jian Liu

    Present address: School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

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  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

    Xiaotong Zhang, Jianchao Liang, Dan Wang & Yuangong Sun

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Zhang, X., Liu, J., Liang, J. et al. Chaos anti-control of coexisting infinite signals and pinning synchronization of a complex-valued laser chain network. Eur. Phys. J. Plus 139, 65 (2024). https://doi.org/10.1140/epjp/s13360-023-04826-0

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