Work

Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map

Year: 2024

Type: article

Abstract: We performed an exhaustive numerical analysis of the two-dimensional Chialvo map by obtaining the parameter planes based on the computation of periodicities and Lyapunov exponents. Our results allowed us to determine the different regions of dynamical behavior, identify regularities in the distribution of periodicities in regions indicating regular behavior, find some pseudofractal structures, identify regions such as the "eyes of chaos" similar to those obtained in parameter planes of continuous systems, and, finally, characterize the statistical properties of chaotic attractors leading to possible hyperchaotic behavior.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0214903

Authors: Gonzalo Marcelo Ramírez-Ávila, Sishu Shankar Muni, Tomasz Kapitaniak

Institutions: Universidad Mayor de San Andrés, University of Namur, Lodz University of Technology, Namur Institute for Complex Systems, Kerala University of Digital Sciences, Innovation and Technology

Language: English

Topic: Chaos control and synchronization

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Fonds De La Recherche Scientifique - FNRS, Narodowym Centrum Nauki

Awards: G2525515251, G2619721941, G434337789, Connect with Wallonia - Come 2 Wallonia