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Synchronization and multistability in a higher-order network of modulated laser models

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Abstract

The study delves into higher-order networks, extending beyond pairwise connections, using modulated laser models, and employing simplicial complexes to model non-pairwise interactions. Two coupling scenarios, linear and nonlinear diffusive functions, are explored. Our results demonstrate that the linear diffusive coupling leads to synchronization, further enhanced with multi-node interactions, and a tendency for forming synchronous clusters before complete synchrony. In contrast, nonlinear diffusive coupling results in a cluster synchronization state with oscillation death and periodic solutions, along with observed chimera and solitary states. In this scenario, the network fails to achieve complete synchrony. Regardless of the coupling function, the network exhibits different solutions within each synchronization pattern, showcasing the potential for multistability—the coexistence of stable solutions across various collective dynamics.

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No new data were created or analyzed in this study.

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Acknowledgements

This work is partially funded by Centre for Nonlinear Systems, Chennai Institute of Technology, India, vide funding number CIT/CNS/2024/RP/011, and also supported by the National Natural Science Foundation of China (Grant No. 61872227).

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Authors and Affiliations

  1. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India

    Karthikeyan Rajagopal

  2. School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi’an 710021, People’s Republic of China

    Gaihui Guo & Jichun Li

  3. Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

    Reza Irankhah & Mahtab Mehrabbeik

  4. Istituto Nazionale di Ottica-CNR, Largo E. Fermi 6, 50125 Firenze, Italy

    Riccardo Meucci

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  1. Karthikeyan Rajagopal
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Rajagopal, K., Guo, G., Li, J. et al. Synchronization and multistability in a higher-order network of modulated laser models. Eur. Phys. J. Spec. Top. (2024). https://doi.org/10.1140/epjs/s11734-024-01158-7

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