Center manifold reduction for large populations of globally coupled phase oscillators
نویسندگان
چکیده
منابع مشابه
Center manifold reduction for large populations of globally coupled phase oscillators.
A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensional center manifold on a space of generalized functions. The dynamics on the manifold is derived for any coupling functions. When the coupling function is sin θ, a bifurcation diagram conjectured by Kuramoto is rigorous...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2011
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.3647317