Approximate solution to the stochastic Kuramoto model

Excitable elements controlled by noise and network structure

(2013) B. Sonnenschein et al.   European Physical Journal-Special Topics

Bifurcations in the Sakaguchi–Kuramoto model

(2013) Oleh E. Omel’chenko et al.   PHYSICA D-NONLINEAR PHENOMENA

The asymptotic behavior of the order parameter for the infinite-N Kuramoto model

(2012) Renato E. Mirollo   CHAOS

Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators

(2012) Giambattista Giacomin et al.   NONLINEARITY

Onset of synchronization in complex networks of noisy oscillators

(2012) Bernard Sonnenschein et al.   PHYSICAL REVIEW E

Heterogeneous Connections Induce Oscillations in Large-Scale Networks

(2012) Geoffroy Hermann et al.   PHYSICAL REVIEW LETTERS

Dynamics of heterogeneous oscillator ensembles in terms of collective variables

(2011) Arkady Pikovsky et al.   PHYSICA D-NONLINEAR PHENOMENA

Long time evolution of phase oscillator systems

(2009) Edward Ott et al.   CHAOS

Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action

(2009) Seth A. Marvel et al.   CHAOS

Dynamical Aspects of Mean Field Plane Rotators and the Kuramoto Model

(2009) Lorenzo Bertini et al.   JOURNAL OF STATISTICAL PHYSICS

Exact results for the Kuramoto model with a bimodal frequency distribution

(2009) E. A. Martens et al.   PHYSICAL REVIEW E

Low dimensional behavior of large systems of globally coupled oscillators

(2008) Edward Ott et al.   CHAOS

Partially Integrable Dynamics of Hierarchical Populations of Coupled Oscillators

(2008) Arkady Pikovsky et al.   PHYSICAL REVIEW LETTERS