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Global-In-Time Solution And Stability Of Kuramoto-Sakaguchi Equation Under Non-Local Couplin

Hirotada Honda

NETWORKS AND HETEROGENEOUS MEDIA（2017）

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Abstract
In this paper, we focus on the global-in-time solvability of the Kuramoto-Sakaguchi equation under non-local coupling. We further study the nonlinear stability of the trivial stationary solution in the presence of sufficiently large diffusivity, and the existence of the solution under vanishing diffusion.
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Key words
Kuramoto-Sakaguchi equation, coupled oscillator, non-local coupling
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