Cyclops states in repulsive Kuramoto networks: The role of higher-order coupling

VO Munyayev, MI Bolotov, LA Smirnov, GV Osipov… - Physical Review Letters, 2023‏ - APS
Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …

Transition from chimera/solitary states to traveling waves

E Rybalova, S Muni, G Strelkova - Chaos: An Interdisciplinary Journal …, 2023‏ - pubs.aip.org
We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …

Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks

M Shafiei, F Parastesh, M Jalili, S Jafari, M Perc… - The European Physical …, 2019‏ - Springer
Synchronization patterns have been observed in neuronal networks and are related to many
cognitive functions and information processing and even some pathological brain states. In …

Chimerapedia: coherence–incoherence patterns in one, two and three dimensions

E Omel'Chenko, E Knobloch - New Journal of Physics, 2019‏ - iopscience.iop.org
Chimera states, or coherence–incoherence patterns in systems of symmetrically coupled
identical oscillators, have been the subject of intensive study for the last two decades. In …

Mathematical framework for breathing chimera states

OE Omel'chenko - Journal of Nonlinear Science, 2022‏ - Springer
About two decades ago it was discovered that systems of nonlocally coupled oscillators can
exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions …

Traveling patterns in a network of memristor-based oscillators with extreme multistability

F Parastesh, S Jafari, H Azarnoush - The European Physical Journal …, 2019‏ - Springer
The study of collective behaviors in the networks of memristive systems has achieved
negligible attention. In this paper, a ring network of memristive based Wien-bridge oscillators …

Chimeras on a ring of oscillator populations

CR Laing - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023‏ - pubs.aip.org
Chimeras occur in networks of coupled oscillators and are characterized by coexisting
groups of synchronous oscillators and asynchronous oscillators. We consider a network …

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 …

Stability of rotatory solitary states in Kuramoto networks with inertia

VO Munyayev, MI Bolotov, LA Smirnov, GV Osipov… - Physical Review E, 2022‏ - APS
Solitary states emerge in oscillator networks when one oscillator separates from the fully
synchronized cluster and oscillates with a different frequency. Such chimera-type patterns …

Frequency chimera state induced by time delays in FitzHugh-Nagumo neural networks

SF Huang, CY Yu, ZG Cai, JQ Zhang, MS Wang… - Chinese Journal of …, 2024‏ - Elsevier
The delay of information transmission is an inherent factor of the nervous systems, which
has great influences on their collective dynamic behaviors. In this paper, we constructed a …