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 …
nonlocally coupled discrete-time systems, which exhibit solitary states along the transition …
Controlling chimera and solitary states by additive noise in networks of chaotic maps
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 …
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 …
logistic maps when the coupling strength is modulated by colored Gaussian noise. Two …
New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
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 …
ensembles of discrete-time systems. The first ensemble is represented by a ring of …
Impact of sparse inter-layer coupling on the dynamics of a heterogeneous multilayer network of chaotic maps
We numerically study the spatiotemporal dynamics of a heterogeneous two-layer network of
chaotic discrete-time systems. The multiplex network is described by uni-or bidirectionally …
chaotic discrete-time systems. The multiplex network is described by uni-or bidirectionally …
Loss of coherence in dynamical networks: spatial chaos and chimera states
We discuss the breakdown of spatial coherence in networks of coupled oscillators with
nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal …
nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal …
Transition from spatial coherence to incoherence in coupled chaotic systems
I Omelchenko, B Riemenschneider, P Hövel… - Physical Review E …, 2012 - APS
We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal
interactions, where each element is coupled to its nearest neighbors within a finite range …
interactions, where each element is coupled to its nearest neighbors within a finite range …
Shooting solitaries due to small-world connectivity in leaky integrate-and-fire networks
ND Tsigkri-DeSmedt, NV Sarlis… - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We study the synchronization properties in a network of leaky integrate-and-fire oscillators
with nonlocal connectivity under probabilistic small-world rewiring. We demonstrate that the …
with nonlocal connectivity under probabilistic small-world rewiring. We demonstrate that the …
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 …
nonlocally coupled Hénon–Lozi maps. It is shown that due to a complicated behavior of the …
Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps
N Semenova, T Vadivasova, V Anishchenko - The European Physical …, 2018 - Springer
We study the peculiarities of the solitary state appearance in the ensemble of nonlocally
coupled chaotic maps. We show that the nonlocal coupling and features of the partial …
coupled chaotic maps. We show that the nonlocal coupling and features of the partial …