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From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation

Published 14 Jan 2014 in nlin.AO and nlin.CD | (1401.3089v1)

Abstract: We derive the Kuramoto-Sivashinsky-type phase equation from the Kuramoto-Sakaguchi-type phase model via the Ott-Antonsen-type complex amplitude equation and demonstrate heterogeneity-induced collective-phase turbulence in nonlocally coupled individual-phase oscillators.

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