Global-in-time solution and stability of Kuramoto-Sakaguchi equation under non-local coupling

DOI10.3934/nhm.2017002zbMath1361.35027OpenAlexW2590735262MaRDI QIDQ515176

Hirotada Honda

Publication date: 13 March 2017

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2017002

zbMATH Keywords

coupled oscillatorvanishing diffusionlarge diffusivitynon-local coupling

Mathematics Subject Classification ID

Attractors (35B41) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Cites Work

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• Existence, uniqueness, and regularity for the Kuramoto-Sakaguchi equation with unboundedly supported frequency distribution.
• Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation
• On the Korteweg - de Vries equation: Existence and uniqueness
• A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
• Existence and uniqueness of solutions to the Kuramoto-Sakaguchi nonlinear parabolic integrodifferential equation
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