[HTML][HTML] Survey of recent applications of the chaotic lozi map

R Lozi - Algorithms, 2023 - mdpi.com
Since its original publication in 1978, Lozi's chaotic map has been thoroughly explored and
continues to be. Hundreds of publications have analyzed its particular structure and applied …

Controlling spatiotemporal dynamics of neural networks by Lévy noise

E Rybalova, N Nikishina, G Strelkova - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
We explore numerically how additive Lévy noise influences the spatiotemporal dynamics of
a neural network of nonlocally coupled FitzHugh–Nagumo oscillators. Without noise, the …

Foreword to the special issue of Journal of Difference Equations and Applications on 'Lozi, Hénon, and other chaotic attractors, theory and applications'

R Lozi, L Efremova, MS Abdelouahab… - Journal of Difference …, 2023 - Taylor & Francis
This foreword presents the 32 articles of the special issue devoted to the Lozi, Hénon and
other chaotic attractors proposed by 78 authors from 20 countries (Algeria, Brazil, Canada …

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 …

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 …

On the higher-order smallest ring star network of Chialvo neurons under diffusive couplings

AS Nair, I Ghosh, HO Fatoyinbo, SS Muni - arXiv preprint arXiv …, 2024 - arxiv.org
We put forward the dynamical study of a novel higher-order small network of Chialvo
neurons arranged in a ring-star topology, with the neurons interacting via linear diffusive …

Dynamical properties of a small heterogeneous chain network of neurons in discrete time

I Ghosh, AS Nair, HO Fatoyinbo, SS Muni - arXiv preprint arXiv …, 2024 - arxiv.org
We propose a novel nonlinear bidirectionally coupled heterogeneous chain network whose
dynamics evolve in discrete time. The backbone of the model is a pair of popular map-based …

[HTML][HTML] Воздействие аддитивного шума на химерные и уединенные состояния в нейронных ансамблях

АД Рябченко, ЕВ Рыбалова… - Известия высших …, 2024 - cyberleninka.ru
Цель. Работа направлена на исследование влияния аддитивного белого гауссовского
шума на динамику ансамбля нелокально связанных моделей нейронов, в качестве …