Remarks on the nonlinear stability of the Kuramoto model with inertia

DOI10.1090/qam/1383zbMath1393.34045OpenAlexW2014572630MaRDI QIDQ5254379

Seung-Yeal Ha, Young-Pil Choi, Se Eun Noh

Publication date: 9 June 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1383

zbMATH Keywords

stabilitysynchronizationinertia Kuramoto system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06) Multifrequency systems of ordinary differential equations (34C46)

Related Items (10)

Synchronous harmony in an ensemble of Hamiltonian mean-field oscillators and inertial Kuramoto oscillators ⋮ Emergent dynamics of the Kuramoto ensemble under the effect of inertia ⋮ Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators ⋮ Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia ⋮ On the generic complete synchronization of the discrete Kuramoto model ⋮ Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings ⋮ Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia ⋮ A Diffusion Limit for the Parabolic Kuramoto--Sakaguchi Equation with Inertia ⋮ A hydrodynamic model for synchronization phenomena ⋮ Asymptotic Stability of the Phase-homogeneous Solution to the Kuramoto--Sakaguchi Equation with Inertia

Cites Work

• Unnamed Item
• Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
• Complete synchronization of Kuramoto oscillators with finite inertia
• Averaging of globally coupled oscillators
• Constants of motion for superconducting Josephson arrays
• Stability of periodic solutions in series arrays of Josephson junctions with internal capacitance
• The spectrum of the locked state for the Kuramoto model of coupled oscillators
• An adaptive model for synchrony in the firefly Pteroptyx malaccae
• Existence of Partial Entrainment and Stability of Phase Locking Behavior of Coupled Oscillators

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