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- W4387068032 abstract "Asymptotic stability of synchronization has been widely analyzed for identically coupled dynamical systems, while such a study is further challenging for the case of non-identical self-dynamics. In this letter, we analyze synchronization in a network of interacting nonidentical dynamical systems under heterogeneous coupling functions. For such a case, the complete synchronization manifold does not remain invariant. We derive that strong interconnections enhance the robustness of synchronization and keep the network systems in proximity of synchronization states. We prove the orbits of sub-systems start evolving near the synchronization manifold and remain in a neighborhood of that manifold. With particular and quantified additional assumptions, we reveal how the interplay among perturbations on the individual node dynamics, underlying network architecture, and interaction functions yield such robustness. Interestingly, for the periodic, fast oscillating mismatched coupling function, we reveal that the mismatch coupling function does not influence the synchronization robustness. Finally, we validate the theoretical results with numerical illustrations for two different kinds of systems, namely, interacting Stuart-Landau and Lorenz systems." @default.
- W4387068032 created "2023-09-27" @default.
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- W4387068032 date "2023-01-01" @default.
- W4387068032 modified "2023-09-27" @default.
- W4387068032 title "Robustness of Synchronization with Heterogeneous Self-dynamics and Interactions" @default.
- W4387068032 doi "https://doi.org/10.1109/lcsys.2023.3319329" @default.
- W4387068032 hasPublicationYear "2023" @default.
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