Remarks on the stability properties of the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration

DOI10.1007/s00033-018-0984-zzbMath1404.35445OpenAlexW2809202728MaRDI QIDQ1990725

Yinglong Zhang, Seung-Yeal Ha, Jae-Seung Lee, Doheon Kim

Publication date: 25 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-0984-z

zbMATH Keywords

synchronizationmany-body systemfrustrationstochastic noiseKuramoto-Sakaguchi equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Fokker-Planck equations (35Q84) Classical solutions to PDEs (35A09)

Related Items

Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration, On the generic complete synchronization of the discrete Kuramoto model, Robustness in the instability of the incoherent state for the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration, A Diffusion Limit for the Parabolic Kuramoto--Sakaguchi Equation with Inertia, A hydrodynamic model for synchronization phenomena, Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration

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