On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena
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Publication:2109001
DOI10.1007/s42985-022-00219-7zbMath1502.35163OpenAlexW4311230799MaRDI QIDQ2109001
Publication date: 20 December 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-022-00219-7
PDEs in connection with fluid mechanics (35Q35) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Vlasov equations (35Q83) PDEs in connection with mechanics of particles and systems of particles (35Q70)
Cites Work
- Unnamed Item
- Hydrodynamic models of self-organized dynamics: derivation and existence theory
- Synchronization in complex networks of phase oscillators: a survey
- Collective synchronization of classical and quantum oscillators
- Complete synchronization of Kuramoto oscillators with finite inertia
- From particle to kinetic and hydrodynamic descriptions of flocking
- International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan
- A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
- Emergent dynamics of the Kuramoto ensemble under the effect of inertia
- Mean-field limits: from particle descriptions to macroscopic equations
- Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces
- Mean field limit for Coulomb-type flows
- Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Global existence and asymptotic behavior of measure valued solutions to the kinetic Kuramoto-Daido model with inertia
- An adaptive model for synchrony in the firefly Pteroptyx malaccae
- On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
- HYDRODYNAMICS OF THE KURAMOTO–VICSEK MODEL OF ROTATING SELF-PROPELLED PARTICLES
- A hydrodynamic model for synchronization phenomena
- Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings
- Existence of Weak Solutions to Kinetic Flocking Models
- Asymptotic Stability of the Phase-homogeneous Solution to the Kuramoto--Sakaguchi Equation with Inertia
- Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- CHANGING OPINIONS IN A CHANGING WORLD: A NEW PERSPECTIVE IN SOCIOPHYSICS
- Optimal Transport
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