Bifurcation analysis; Nonlinear systems; Opinion dynamics; Asymptotic behaviour; Condition; Coupled systems; Dynamics models; Environmental dynamics; Environmental signals; Control and Systems Engineering; Modeling and Simulation; Control and Optimization
Abstract :
[en] We consider an opinion dynamics model coupled with an environmental dynamics. Based on a forward invariance argument, we can simplify the analysis of the asymptotic behavior to the case when all the opinions in the social network are synchronized. Our goal is to emphasize the role of the trust given to the environmental signal in the asymptotic behavior of the opinion dynamics and implicitly of the coupled system. To do that, we conduct a bifurcation analysis of the system around the origin when the trust parameter is varying. Specific conditions are presented for both pitchfork and Hopf bifurcation. Numerical illustration completes the theoretical findings.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Couthures, Anthony; Université de Lorraine, Cnrs, Cran, Nancy, France
Bizyaeva, Anastasia; Cornell University, Sibley School of Mechanical and Aerospace Engineering, United States
Varma, Vineeth S.; Université de Lorraine, Cnrs, Cran, Nancy, France ; Technical University of Cluj-Napoca, Automation Department, Cluj-Napoca, Romania
Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing
Morǎrescu, Irinel-Constantin; Université de Lorraine, Cnrs, Cran, Nancy, France ; Technical University of Cluj-Napoca, Automation Department, Cluj-Napoca, Romania
Language :
English
Title :
Bifurcation analysis of an opinion dynamics model coupled with an environmental dynamics
Publication date :
2025
Event name :
2025 IEEE 64th Conference on Decision and Control (CDC)
Event place :
Rio de Janeiro, Bra
Event date :
09-12-2025 => 12-12-2025
Audience :
International
Main work title :
2025 IEEE 64th Conference on Decision and Control, CDC 2025
Publisher :
Institute of Electrical and Electronics Engineers Inc.
MathWorks (United States) MERL - Mitsubishi Electric Research Laboratories (United States) Quanser (Canada) SIAM - Society for Industrial and Applied Mathematics
Funding text :
The work of V.S. Varma and I.C. Mor\u01CErescu was supported by project DECIDE, no. 57/14.11.2022 funded under the PNRR I8 scheme by the Romanian Ministry of Research, Innovation, and Digitisation and was partially funded by the CNRS MITI project BLESS. Franklin Open; Springer
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