Glassy states and super-relaxation in populations of coupled phase oscillators

Phase diagram for the Kuramoto model with van Hemmen interactions

(2014) Isabel M. Kloumann et al.   PHYSICAL REVIEW E

Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths

(2014) Di Yuan et al.   PHYSICAL REVIEW E

Bifurcations in the Sakaguchi–Kuramoto model

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

Mean-field and mean-ensemble frequencies of a system of coupled oscillators

(2013) Spase Petkoski et al.   PHYSICAL REVIEW E

Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths

(2013) D. Iatsenko et al.   PHYSICAL REVIEW LETTERS

Multiscale dynamics in communities of phase oscillators

(2012) Dustin Anderson et al.   CHAOS

Chimera and phase-cluster states in populations of coupled chemical oscillators

(2012) Mark R. Tinsley et al.   Nature Physics

Experimental observation of chimeras in coupled-map lattices

(2012) Aaron M. Hagerstrom et al.   Nature Physics

Hierarchical synchrony of phase oscillators in modular networks

(2012) Per Sebastian Skardal et al.   PHYSICAL REVIEW E

Mean-field behavior in coupled oscillators with attractive and repulsive interactions

(2012) Hyunsuk Hong et al.   PHYSICAL REVIEW E

Kuramoto model with time-varying parameters

(2012) Spase Petkoski et al.   PHYSICAL REVIEW E

Nonuniversal Transitions to Synchrony in the Sakaguchi-Kuramoto Model

(2012) Oleh E. Omel’chenko et al.   PHYSICAL REVIEW LETTERS

Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]

(2011) Edward Ott et al.   CHAOS

Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times

(2011) Wai Shing Lee et al.   CHAOS

The Kuramoto model with distributed shear

(2011) D. Pazó et al.   EPL

Dynamics of heterogeneous oscillator ensembles in terms of collective variables

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

Collective synchronization in the presence of reactive coupling and shear diversity

(2011) Ernest Montbrió et al.   PHYSICAL REVIEW E

Cluster synchrony in systems of coupled phase oscillators with higher-order coupling

(2011) Per Sebastian Skardal et al.   PHYSICAL REVIEW E

Conformists and contrarians in a Kuramoto model with identical natural frequencies

(2011) Hyunsuk Hong et al.   PHYSICAL REVIEW E

Shear Diversity Prevents Collective Synchronization

(2011) Ernest Montbrió et al.   PHYSICAL REVIEW LETTERS

Kuramoto Model of Coupled Oscillators with Positive and Negative Coupling Parameters: An Example of Conformist and Contrarian Oscillators

(2011) Hyunsuk Hong et al.   PHYSICAL REVIEW LETTERS

Theoretical perspective on the glass transition and amorphous materials

(2011) Ludovic Berthier et al.   REVIEWS OF MODERN PHYSICS

Generative Models of Cortical Oscillations: Neurobiological Implications of the Kuramoto Model

(2010) Michael Breakspear et al.   Frontiers in Human Neuroscience

Complex dynamics of an oscillator ensemble with uniformly distributed natural frequencies and global nonlinear coupling

(2010) Yernur Baibolatov et al.   PHYSICAL REVIEW E

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

Exact results for the Kuramoto model with a bimodal frequency distribution

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

Large Coupled Oscillator Systems with Heterogeneous Interaction Delays

(2009) Wai Shing Lee et al.   PHYSICAL REVIEW LETTERS

Neuronal Synchrony during Anesthesia: A Thalamocortical Model

(2008) Jane H. Sheeba et al.   BIOPHYSICAL JOURNAL

Low dimensional behavior of large systems of globally coupled oscillators

(2008) Edward Ott et al.   CHAOS

Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators

(2008) Arkady Pikovsky et al.   PHYSICA D-NONLINEAR PHENOMENA

Collective atomic recoil laser as a synchronization transition

(2008) J. Javaloyes et al.   PHYSICAL REVIEW E

Partially Integrable Dynamics of Hierarchical Populations of Coupled Oscillators

(2008) Arkady Pikovsky et al.   PHYSICAL REVIEW LETTERS