Bifurcations in the Kuramoto model on graphs

The Mean Field Equation for the Kuramoto Model on Graph Sequences with Non-Lipschitz Limit

(2018) Dmitry Kaliuzhnyi-Verbovetskyi et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Stability of Twisted States in the Continuum Kuramoto Model

(2017) Georgi S. Medvedev et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

The Semilinear Heat Equation on Sparse Random Graphs

(2017) Dmitry Kaliuzhnyi-Verbovetskyi et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Stability and bifurcation for the Kuramoto model

(2016) Helge Dietert   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Landau Damping in the Kuramoto Model

(2015) Bastien Fernandez et al.   ANNALES HENRI POINCARE

Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs

(2015) Georgi S. Medvedev et al.   JOURNAL OF NONLINEAR SCIENCE

Partially coherent twisted states in arrays of coupled phase oscillators

(2014) Oleh E. Omel'chenko et al.   CHAOS

The Nonlinear Heat Equation on Dense Graphs and Graph Limits

(2014) Georgi S. Medvedev   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

The Nonlinear Heat Equation on W-Random Graphs

(2013) Georgi S. Medvedev   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model

(2013) HAYATO CHIBA   ERGODIC THEORY AND DYNAMICAL SYSTEMS

Small-world networks of Kuramoto oscillators

(2013) Georgi S. Medvedev   PHYSICA D-NONLINEAR PHENOMENA