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• W2018052129 abstract "We develop analytical and numerical conditions to determine whether limit cycle oscillations synchronize in diffusively coupled systems. We examine two classes of systems: reaction-diffusion PDEs with Neumann boundary conditions, and compartmental ODEs, where compartments are interconnected through diffusion terms with adjacent compartments. In both cases the uncoupled dynamics are governed by a nonlinear system that admits an asymptotically stable limit cycle. We provide two-time scale averaging methods for certifying stability of spatially homogeneous time-periodic trajectories in the presence of sufficiently small or large diffusion and develop methods using the structured singular value for the case of intermediate diffusion. We highlight cases where diffusion stabilizes or destabilizes such trajectories." @default.
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• W2018052129 date "2013-12-01" @default.
• W2018052129 modified "2023-10-14" @default.
• W2018052129 title "Synchronization of diffusively-coupled limit cycle oscillators" @default.
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• W2018052129 doi "https://doi.org/10.1016/j.automatica.2013.09.011" @default.
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