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

Year: 2024

Authors: Rajagopal K., Guo GH., Li JC., Irankhah R., Mehrabbeik M., Meucci R.

Autors Affiliation: Chennai Inst Technol, Ctr Nonlinear Syst, Chennai, India; Shaanxi Univ Sci & Technol, Sch Math & Data Sci, Xian 710021, Peoples R China; Amirkabir Univ Technol, Tehran Polytech, Dept Biomed Engn, Tehran, Iran; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy.

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.

Journal/Review: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS

Volume: 233 (4)      Pages from: 769  to: 778

More Information: 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).
KeyWords: Chaos
DOI: 10.1140/epjs/s11734-024-01158-7

Citations: 1
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17
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