Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise

Traveling chimera states

(2019) Oleh Omel'chenko   Journal of Physics A-Mathematical and Theoretical

Two-Bunch Solutions for the Dynamics of Ott–Antonsen Phase Ensembles

(2019) I. V. Tyulkina et al.   Radiophysics and Quantum Electronics

Relationships Between the Distribution of Watanabe–Strogatz Variables and Circular Cumulants for Ensembles of Phase Elements

(2019) Denis S. Goldobin   FLUCTUATION AND NOISE LETTERS

Network dynamics of coupled oscillators and phase reduction techniques

(2019) Bastian Pietras et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators

(2019) Denis S. Goldobin et al.   Communications in Nonlinear Science and Numerical Simulation

Simple and complex chimera states in a nonlinearly coupled oscillatory medium

(2018) Maxim Bolotov et al.   CHAOS

The mathematics behind chimera states

(2018) O E Omel’chenko   NONLINEARITY

Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz

(2018) Irina V. Tyulkina et al.   PHYSICAL REVIEW LETTERS

Ubiquity of collective irregular dynamics in balanced networks of spiking neurons

(2018) Ekkehard Ullner et al.   CHAOS

Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses

(2018) Matteo di Volo et al.   PHYSICAL REVIEW LETTERS

Macroscopic models for networks of coupled biological oscillators

(2018) Kevin M. Hannay et al.   Science Advances

Collective mode reductions for populations of coupled noisy oscillators

(2018) Denis S. Goldobin et al.   CHAOS

Chimera patterns in the Kuramoto–Battogtokh model

(2017) Lev Smirnov et al.   Journal of Physics A-Mathematical and Theoretical

Spiral wave chimera states in large populations of coupled chemical oscillators

(2017) Jan Frederik Totz et al.   Nature Physics

Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit

(2017) Carlo R. Laing   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Travelling waves in arrays of delay-coupled phase oscillators

(2016) Carlo R. Laing   CHAOS

Interplay of coupling and common noise at the transition to synchrony in oscillator populations

(2016) Anastasiya V. Pimenova et al.   Scientific Reports

Dynamics of globally coupled oscillators: Progress and perspectives

(2015) Arkady Pikovsky et al.   CHAOS

Collective dynamics in two populations of noisy oscillators with asymmetric interactions

(2015) Bernard Sonnenschein et al.   PHYSICAL REVIEW E

Chimeras in networks with purely local coupling

(2015) Carlo R. Laing   PHYSICAL REVIEW E

Macroscopic Description for Networks of Spiking Neurons

(2015) Ernest Montbrió et al.   Physical Review X

Partially coherent twisted states in arrays of coupled phase oscillators

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

Uncertainty principle for control of ensembles of oscillators driven by common noise

(2014) D. S. Goldobin   European Physical Journal-Special Topics

Low-Dimensional Dynamics of Populations of Pulse-Coupled Oscillators

(2014) Diego Pazó et al.   Physical Review X

Approximate solution to the stochastic Kuramoto model

(2013) Bernard Sonnenschein et al.   PHYSICAL REVIEW E

Chimera states in mechanical oscillator networks

(2013) E. A. Martens et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Kuramoto model with time-varying parameters

(2012) Spase Petkoski et al.   PHYSICAL REVIEW E

Anharmonic resonances with recursive delay feedback

(2011) Denis S. Goldobin   PHYSICS LETTERS A

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

Low dimensional behavior of large systems of globally coupled oscillators

(2008) Edward Ott et al.   CHAOS

Stochastic Synchrony of Chaos in a Pulse-Coupled Neural Network with Both Chemical and Electrical Synapses Among Inhibitory Neurons

(2008) Takashi Kanamaru et al.   NEURAL COMPUTATION

Partially Integrable Dynamics of Hierarchical Populations of Coupled Oscillators

(2008) Arkady Pikovsky et al.   PHYSICAL REVIEW LETTERS