Chimeras in globally coupled oscillators: A review

A Mishra, S Saha, SK Dana - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The surprising phenomenon of chimera in an ensemble of identical oscillators is no more
strange behavior of network dynamics and reality. By this time, this symmetry breaking self …

Nontrivial twisted states in nonlocally coupled Stuart-Landau oscillators

S Lee, K Krischer - Physical Review E, 2022 - APS
A twisted state is an important yet simple form of collective dynamics in an oscillatory
medium. Here we describe a nontrivial type of twisted state in a system of nonlocally …

Bumps, chimera states, and Turing patterns in systems of coupled active rotators

I Franović, OE Omel'chenko, M Wolfrum - Physical Review E, 2021 - APS
Self-organized coherence-incoherence patterns, called chimera states, have first been
reported in systems of Kuramoto oscillators. For coupled excitable units, similar patterns …

Topological synchronization of coupled nonlinear oscillators

K Sone, Y Ashida, T Sagawa - Physical Review Research, 2022 - APS
Synchronization of coupled oscillators is a ubiquitous phenomenon found throughout
nature. Its robust realization is crucial to our understanding of various nonlinear systems …

[HTML][HTML] Attracting Poisson chimeras in two-population networks

S Lee, K Krischer - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
Chimera states, ie, dynamical states composed of coexisting synchronous and
asynchronous oscillations, have been reported to exist in diverse topologies of oscillators in …

Dynamics of a nonlinear quantum oscillator under non-Markovian pumping

AD Alliluev, DV Makarov - Journal of Russian Laser Research, 2022 - Springer
We consider dynamics of a quantum nonlinear oscillator subjected to non-Markovian
pumping. Models of this kind can describe formation of exciton-polariton Bose–Einstein …

Chimera states and seizures in a mouse neuronal model

HM Mitchell, PS Dodds, JM Mahoney… - International Journal of …, 2020 - World Scientific
Chimera states—the coexistence of synchrony and asynchrony in a nonlocally-coupled
network of identical oscillators—are often used as a model framework for epileptic seizures …

Stable chimeras of non-locally coupled Kuramoto–Sakaguchi oscillators in a finite array

S Lee, YS Cho - Journal of the Korean Physical Society, 2021 - Springer
We consider chimera states of coupled identical phase oscillators where some oscillators
are phase synchronized (have the same phase) while others are desynchronized. Chimera …

Coexistence Patterns of Four Oscillators

SW Haugland - On Coexistence Patterns: Hierarchies of Intricate …, 2023 - Springer
This chapter focuses on the dynamics of Stuart-Landau oscillators with nonlinear global
coupling in a parameter regime where their motion is at least governed by two component …

Phase reductions beyond the Kuramoto model: derivation, analysis and simulation

I León Merino - 2022 - repositorio.unican.es
A wide variety of systems are described as ensembles of oscillators: from the electric grid to
the brain. A better comprehension of the dynamics of oscillators ensembles is a relevant …