Exponential dephasing of oscillators in the kinetic Kuramoto model
From MaRDI portal
Publication:281169
DOI10.1007/s10955-015-1426-3zbMath1339.35328arXiv1412.1923OpenAlexW3099565361MaRDI QIDQ281169
Dario Benedetto, Umberto Montemagno, Emanuele Caglioti
Publication date: 10 May 2016
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1923
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cauchy-Kovalevskaya theorems (35A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Biological rhythms and synchronization (92B25)
Related Items
A mean-field limit of the particle swarmalator model, Landau damping in the Kuramoto model, Convergence and stability of generalized gradient systems by Łojasiewicz inequality with application in continuum Kuramoto model, Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation, Orientation mixing in active suspensions, Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model, Local Sensitivity Analysis for the Kuramoto--Daido Model with Random Inputs in a Large Coupling Regime, Ott-Antonsen attractiveness for parameter-dependent oscillatory systems, On numerical Landau damping for splitting methods applied to the Vlasov-HMF model, Interplay of inertia and adaptive couplings in the emergent dynamics of Kuramoto ensemble, Uniform stability and mean-field limit for the augmented Kuramoto model, Robustness in the instability of the incoherent state for the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration, Emergence of phase concentration for the Kuramoto-Sakaguchi equation, Emergent dynamics of an orientation flocking model for multi-agent system, On linear damping around inhomogeneous stationary states of the Vlasov-HMF model, Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives, Emergent behaviors of the swarmalator model for position-phase aggregation, Uniform stability and uniform-in-time mean-field limit of the thermodynamic Kuramoto model, A local sensitivity analysis for the kinetic Kuramoto equation with random inputs, Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration, A local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs
Cites Work
- Unnamed Item
- Stability and bifurcation for the Kuramoto model
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- On Landau damping
- Contractivity of transport distances for the kinetic Kuramoto equation
- Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
- 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
- Time asymptotics for solutions of Vlasov-Poisson equation in a circle
- On the complete synchronization of the Kuramoto phase model
- Synchronization analysis of Kuramoto oscillators
- Landau damping in the Kuramoto model
- The spectrum of the partially locked state for the Kuramoto model
- The asymptotic behavior of the order parameter for the infinite-N Kuramoto model
- A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities
- On the Vlasov Limit for Systems of Nonlinearly Coupled Oscillators without Noise
- Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
- Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions
- A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
- On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem
- Dephasing of Kuramoto oscillators in kinetic regime towards a fixed asymptotically free state
- Landau damping in Sobolev spaces for the Vlasov-HMF model