Exponential asymptotic stability of the Kuramoto system with periodic natural frequencies and constant inertia

DOI10.1007/S00332-022-09870-1OpenAlexW4310276480MaRDI QIDQ2105228

Sun-Ho Choi, Hyowon Seo

Publication date: 8 December 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-022-09870-1

zbMATH Keywords

exponential asymptotic stabilityinertiaKuramoto modelmean-centered-periodic solutiontime-periodic natural frequency

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (2)

Phase-locked solutions of a coupled pair of nonidentical oscillators ⋮ Inertial power balance system with nonlinear time-derivatives and periodic natural frequencies

Cites Work

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• Frequency Entrainment of a Forced van der Pol Oscillator
• Synchronization in a Power Balance System With Inertia and Nonlinear Derivatives
• Emergent behaviors of a holonomic particle system on a sphere

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