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 …

Destruction of cluster structures in an ensemble of chaotic maps with noise-modulated nonlocal coupling

NN Nikishina, EV Rybalova, GI Strelkova… - Regular and Chaotic …, 2022 - Springer
We study numerically the spatio-temporal dynamics of a ring network of nonlocally coupled
logistic maps when the coupling strength is modulated by colored Gaussian noise. Two …

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 …

Stability and noise-induced transitions in an ensemble of nonlocally coupled chaotic maps

AV Bukh, AV Slepnev, VS Anishchenko… - Regular and Chaotic …, 2018 - Springer
The influence of noise on chimera states arising in ensembles of nonlocally coupled chaotic
maps is studied. There are two types of chimera structures that can be obtained in such …

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 …

Impact of noise on the amplitude chimera lifetime in an ensemble of nonlocally coupled chaotic maps

EV Rybalova, DY Klyushina, VS Anishchenko… - Regular and Chaotic …, 2019 - Springer
This paper presents results of numerical statistical analysis of the effect of short-term
localized noise of different intensity on the amplitude chimera lifetime in an ensemble of …

Temporal intermittency and the lifetime of chimera states in ensembles of nonlocally coupled chaotic oscillators

NI Semenova, GI Strelkova, VS Anishchenko… - … journal of nonlinear …, 2017 - pubs.aip.org
We describe numerical results for the dynamics of networks of nonlocally coupled chaotic
maps. Switchings in time between amplitude and phase chimera states have been first …

Basin of attraction for chimera states in a network of Rössler oscillators

V Dos Santos, FS Borges, KC Iarosz… - … Journal of Nonlinear …, 2020 - pubs.aip.org
Chimera states are spatiotemporal patterns in which coherent and incoherent dynamics
coexist simultaneously. These patterns were observed in both locally and nonlocally …

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 …

New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps

A Bukh, E Rybalova, N Semenova… - … journal of nonlinear …, 2017 - pubs.aip.org
We study numerically the dynamics of a network made of two coupled one-dimensional
ensembles of discrete-time systems. The first ensemble is represented by a ring of …