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Diffusive coupling, dissipation, and synchronization

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Abstract

We consider the synchronization of diffusive coupled systems in situations where the synchronization is a consequence of the dissipation in the coupling as well as ones where there is an interaction between the inherent damping in the subsystems and the coupling. It is not required that the subsystems be identical, and they are allowed to have chaotic dynamics. Both discrete and continuous versions are discussed. We also consider coupled oscillators where the dynamics of each oscillator is determined by circuitry across a lossless transmission line.

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  1. School of Mathematics, Geogia Institute of Technology, 30332-000, Atlanta, Georgia

    Jack K. Hale

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Hale, J.K. Diffusive coupling, dissipation, and synchronization. J Dyn Diff Equat 9, 1–52 (1997). https://doi.org/10.1007/BF02219051

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