Topological States in the Kuramoto Model
نویسندگان
چکیده
منابع مشابه
Stability of Twisted States in the Continuum Kuramoto Model
We study a nonlocal diffusion equation approximating the dynamics of coupled phase oscillators on large graphs. Under appropriate assumptions, the model has a family of steady state solutions called twisted states. We prove a sufficient condition for stability of twisted states with respect to perturbations in the Sobolev and BV spaces. As an application, we study the stability of twisted state...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2018
ISSN: 1536-0040
DOI: 10.1137/17m112484x