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 …

In this paper, a network of interacting neurons based on a two-component system of reaction-
superdiffusion equations with fractional Laplace operator responsible for the coupling …

We explore numerically how additive Lévy noise influences the spatiotemporal dynamics of
a neural network of nonlocally coupled FitzHugh–Nagumo oscillators. Without noise, the …

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 …

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 …

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 …

Neurons in an excitable mode do not show spiking activity and, therefore, do not contribute
to information transfer transmission and its processing. However, some external influences …

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 …

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 …

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 …