Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime
From MaRDI portal
Publication:1981744
DOI10.1016/j.jde.2021.07.047zbMath1484.82029OpenAlexW3194065843MaRDI QIDQ1981744
Seung-Yeal Ha, Myeongju Kang, Tommaso Ruggeri, Woojoo Shim, Hansol Park
Publication date: 6 September 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.047
Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)
Related Items
Continuum limit of the lattice Lohe group model and emergent dynamics, Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- Asymptotic synchronous behavior of Kuramoto type models with frustrations
- Emergent dynamics of a thermodynamically consistent particle model
- Synchronization in a pool of mutually coupled oscillators with random frequencies
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Convergence and stability of generalized gradient systems by Łojasiewicz inequality with application in continuum Kuramoto model
- Formation of phase-locked states in a population of locally interacting Kuramoto oscillators
- Synchronization analysis of Kuramoto oscillators
- Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
- Emergent behaviors of thermodynamic Kuramoto ensemble on a regular ring lattice
- Uniform-in-time continuum limit of the lattice winfree model and emergent dynamics
- Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia
- The Nonlinear Heat Equation on Dense Graphs and Graph Limits
- Existence and Exact Multiplicity of Phaselocked Solutions of a Kuramoto Model of Mutually Coupled Oscillators
- 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
- Emergent Behaviors of Thermodynamic Cucker--Smale Particles
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- On Exponential Synchronization of Kuramoto Oscillators
- On the Critical Coupling for Kuramoto Oscillators
- Phaselocked Solutions Of The Finite Size Kuramoto Coupled Oscillator Model