Analysis of an opinion dynamics model coupled with an external environmental dynamics

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-11-16 DOI:10.1016/j.chaos.2024.115719

Anthony Couthures , Vineeth Satheeskumar Varma , Samson Lasaulce , Irinel - Constantin Morărescu

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引用次数: 0

Abstract

We consider a set of individuals, referred to as agents, whose opinions evolve according to nonlinear dynamics. Their opinions impact their behavior or actions, which in turn affect their local environment (for example, via pollution, contamination of a virus, etc.). Each agent can also perceive or observe a signal about the environment, and is influenced by this external signal. This yields a coupled dynamics (opinion and external signal), which behaves in a similar manner to the prey–predator models. One of the main features of our study is that the information provided by the external signal has a significant impact on the opinion dynamics. When the coupling is strong, the external signal may induce either chaotic behavior or convergence towards a limit cycle. When the coupling with the external signal is weak, the classical behavior characterized by local agreements in polarized clusters is observed. In both cases, conditions under which clusters of individuals do not change their actions are provided. Numerical examples are provided to illustrate the derived analytical results.

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分析与外部环境动态相结合的舆论动态模型

我们将一组个体称为代理，他们的观点根据非线性动态变化。他们的观点会影响他们的行为或行动，而他们的行为或行动反过来又会影响当地环境（例如，通过污染、病毒污染等）。每个代理还可以感知或观察到有关环境的信号，并受到该外部信号的影响。这就产生了一种耦合动力学（观点和外部信号），其行为方式与猎物-捕食者模型类似。我们研究的主要特点之一是，外部信号提供的信息对舆论动态有重大影响。当耦合较强时，外部信号可能会诱发混乱行为或向极限循环收敛。当与外部信号的耦合较弱时，则会观察到以极化集群中的局部一致为特征的经典行为。在这两种情况下，都提供了个体集群不改变其行动的条件。我们还提供了数值示例来说明得出的分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.