On the emergent dynamics of the infinite set of Kuramoto oscillators
From MaRDI portal
Publication:6087841
DOI10.1007/s10955-023-03184-6zbMath1529.34054arXiv2309.16538OpenAlexW4388339771MaRDI QIDQ6087841
Euntaek Lee, Seung-Yeal Ha, Woojoo Shim
Publication date: 16 November 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.16538
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the finiteness of collisions and phase-locked states for the Kuramoto model
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- Collective synchronization of classical and quantum oscillators
- The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework
- Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics
- Finite-time synchronization of Kuramoto-type oscillators
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- From particle to kinetic and hydrodynamic descriptions of flocking
- Functional analysis, Sobolev spaces and partial differential equations
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Convergence of analytic gradient-type systems with periodicity and its applications in Kuramoto models
- Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications
- On the complete synchronization of the Kuramoto phase model
- Asymptotic phase-locking dynamics and critical coupling strength for the Kuramoto model
- Formation of phase-locked states in a population of locally interacting Kuramoto oscillators
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Synchronization analysis of Kuramoto oscillators
- Synchronization of Kuramoto Oscillators with Adaptive Couplings
- Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
- Flocking and synchronization of particle models
- On the Vlasov Limit for Systems of Nonlinearly Coupled Oscillators without Noise
- Trend to equilibrium in the Becker-Doring cluster equations
- Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
- On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- On Exponential Synchronization of Kuramoto Oscillators
- Stability of infinite systems of coupled oscillators via random walks on weighted graphs
- Emergent Behavior in Flocks
- A Convergence Result for the Kuramoto Model with All-to-All Coupling
- On the Critical Coupling for Kuramoto Oscillators
- The flocking behavior of the infinite-particle Cucker-Smale model
