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 …

On the analysis of a heterogeneous coupled network of memristive Chialvo neurons

I Ghosh, SS Muni, HO Fatoyinbo - Nonlinear Dynamics, 2023 - Springer
We perform a numerical study on the application of electromagnetic flux on a heterogeneous
network of Chialvo neurons represented by a ring-star topology. Heterogeneities are …

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 …

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 …

[HTML][HTML] 保积的Lozi 映射中与抛物周期点和双曲周期点相关的轨道特征

顾恩国, 李博 - Applied Physics, 2023 - hanspub.org
本文研究了与Lozi 保积映射的抛物和双曲周期点相关的轨道特征. 证明了其全轨道相对于y=-x
都是对称的. 首先证明了当a= 2 时Lozi 映射的轨道绕原点旋转, 并且指出其轨道可能是发散的 …

[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 …

On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux

I Ghosh, SS Muni, HO Fatoyinbo - arXiv preprint arXiv:2206.04234, 2022 - arxiv.org
We perform a numerical study on the application of electromagnetic flux on a heterogeneous
network of Chialvo neurons represented by a ring-star topology. Heterogeneities are …

The stratification and invariant region of chaotic sea in an area-preserving Lozi map

B Li, EG Gu - 2023 - researchsquare.com
In this paper, we study the hierarchical structure of a chaotic sea and the existence condition
and delimitation method of island chain for Lozi map. The regular island chains associated …