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Diffusive coupling, dissipation, and synchronization
Authors:Jack K Hale
Institution:(1) School of Mathematics, Geogia Institute of Technology, 30332-000 Atlanta, Georgia
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.
Keywords:Diffusive coupling  dissipation  synchronization
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