Chimeras

F Parastesh, S Jafari, H Azarnoush, Z Shahriari… - Physics Reports, 2021 - Elsevier
Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

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 …

Controlling chimera and solitary states by additive noise in networks of chaotic maps

E Rybalova, E Schöll, G Strelkova - Journal of Difference …, 2023 - Taylor & Francis
We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-
time systems in the presence of additive noise. The robustness of chimera states with …

Response of solitary states to noise-modulated parameters in nonlocally coupled networks of Lozi maps

E Rybalova, G Strelkova - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
We study numerically the impact of heterogeneity in parameters on the dynamics of
nonlocally coupled discrete-time systems, which exhibit solitary states along the transition …

Stochastic variability of regular and chaotic dynamics in 2D metapopulation model

A Belyaev, I Bashkirtseva, L Ryashko - Chaos, Solitons & Fractals, 2021 - Elsevier
A behavior of metapopulation consisting of two coupled subsystems modeled by the Ricker
map is considered. We study how dynamics of the metapopulation changes under increase …

Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling

IA Shepelev, SS Muni, TE Vadivasova - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We explore the emergence of a variety of different spatiotemporal patterns in a 2D lattice of
self-sustained oscillators, which interact nonlocally through an active nonlinear element. A …

Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

E Rybalova, V Averyanov, R Lozi, G Strelkova - Chaos, Solitons & Fractals, 2024 - Elsevier
We explore numerically the dynamics of a single Hénon–Lozi map and networks of
nonlocally coupled Hénon–Lozi maps. It is shown that due to a complicated behavior of the …

Chaotic transients, riddled basins, and stochastic transitions in coupled periodic logistic maps

I Bashkirtseva, L Ryashko - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
A system of two coupled map-based oscillators is studied. As units, we use identical logistic
maps in two-periodic modes. In this system, increasing coupling strength significantly …

Chimera resonance in networks of chaotic maps

E Rybalova, V Nechaev, E Schöll… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We explore numerically the impact of additive Gaussian noise on the spatiotemporal
dynamics of ring networks of nonlocally coupled chaotic maps. The local dynamics of …

Influence of additive noise on chimera and solitary states in neural networks

AD Ryabchenko, EV Rybalova… - Izvestiya VUZ. Applied …, 2024 - journals.rcsi.science
The purpose of this work is to study numerically the influence of additive white Gaussian
noise on the dynamics of a network of nonlocally coupled neuron models which are …