Diffusion-induced inhomogeneity in globally coupled oscillators: swing-by mechanism |
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Authors: | Daido Hiroaki Nakanishi Kenji |
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Institution: | Department of Mathematical Sciences, Graduate School of Engineering, University of Osaka Prefecture, Sakai 599-8531, Japan. |
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Abstract: | It is shown that for random initial conditions, a large population of identical and sufficiently nonisochronous Stuart-Landau oscillators coupled globally and diffusively exhibits inhomogeneity in a resonant way as the diffusive coupling is intensified, where the diffusive coupling constant is real. A category of inhomogeneous (nonsynchronized) solutions is analytically shown to exist, which is either periodic or quasiperiodic. |
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