Nonstationary coherence–incoherence patterns in nonlocally coupled heterogeneous phase oscillators

DOI10.1063/1.5145259zbMath1437.34045OpenAlexW3014408182WikidataQ94481148 ScholiaQ94481148MaRDI QIDQ3303825

O. E. Omel'chenko

Publication date: 4 August 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5145259

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Periodic orbits in the Ott–Antonsen manifold ⋮ Mathematical framework for breathing Chimera states

Cites Work

• Unnamed Item
• Unnamed Item
• The Kuramoto model in complex networks
• Chemical oscillations, waves, and turbulence
• The dynamics of chimera states in heterogeneous Kuramoto networks
• Phase resetting in medicine and biology. Stochastic modelling and data analysis
• Weakly connected neural networks
• Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
• A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
• Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators
• Stationary Bumps in Networks of Spiking Neurons
• Coherence–incoherence patterns in a ring of non-locally coupled phase oscillators
• Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks
• Controlling chimeras
• Simple and complex chimera states in a nonlinearly coupled oscillatory medium
• The mathematics behind chimera states
• Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators
• Dynamics of globally coupled oscillators: Progress and perspectives
• Stability of Spiral Chimera States on a Torus
• Chimera states in a Duffing oscillators chain coupled to nearest neighbors
• Synchronization in complex oscillator networks and smart grids
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Existence and Wandering of Bumps in a Spiking Neural Network Model

This page was built for publication: Nonstationary coherence–incoherence patterns in nonlocally coupled heterogeneous phase oscillators