On the finiteness of collisions and phase-locked states for the Kuramoto model
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Publication:310023
DOI10.1007/s10955-016-1528-6zbMath1345.70019OpenAlexW2344704407MaRDI QIDQ310023
Sang Woo Ryoo, Seung-Yeal Ha, Hwa Kil Kim
Publication date: 7 September 2016
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-016-1528-6
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Collisions in celestial mechanics, regularization (70F16) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (16)
Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning ⋮ On the global well-posedness of BV weak solutions to the Kuramoto-Sakaguchi equation ⋮ Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization ⋮ Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation ⋮ On the emergent dynamics of the infinite set of Kuramoto oscillators ⋮ Asymptotic phase-locking dynamics and critical coupling strength for the Kuramoto model ⋮ Multisoliton complex systems with explicit superpotential interactions ⋮ Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia ⋮ On the trend to global equilibrium for Kuramoto oscillators ⋮ The WS transform for the Kuramoto model with distributed amplitudes, phase lag and time delay ⋮ Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration ⋮ Interplay of inertia and adaptive couplings in the emergent dynamics of Kuramoto ensemble ⋮ On the generic complete synchronization of the discrete Kuramoto model ⋮ Emergence of phase concentration for the Kuramoto-Sakaguchi equation ⋮ Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph ⋮ Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
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