揭示 Chialvo 神经元图中周期性区域的分布和混沌吸引子的多样性。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2024-08-01 DOI:10.1063/5.0214903

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

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引用次数: 0

摘要

我们对二维 Chialvo 地图进行了详尽的数值分析，在计算周期性和 Lyapunov 指数的基础上获得了参数平面。我们的研究结果使我们能够确定动力学行为的不同区域，识别显示规律行为区域中周期性分布的规律性，发现一些伪分形结构，识别类似于连续系统参数平面中获得的 "混沌之眼 "等区域，并最终确定混沌吸引子的统计特性，从而导致可能的超混沌行为。

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

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.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.