Bifurcation analysis of an opinion dynamics model coupled with an environmental dynamics
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.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Limit Cycles Analysis and Control of Evolutionary Game Dynamics with Environmental Feedback
Recently, an evolutionary game dynamics model taking into account the environmental feedback has been proposed to describe the co-evolution of strategic actions of a population of individuals and the state of the surroun…
Tunable Thresholds and Frequency Encoding in a Spiking NOD Controller
Spiking Nonlinear Opinion Dynamics (S-NOD) is an excitable decision-making model inspired by the spiking dynamics of neurons. S-NOD enables the design of agile decision-making that can rapidly switch between decision opt…
Decision MakingHopf-type neurons increase input-sensitivity by forming forcing-coupled ensembles
Astounding properties of biological sensors can often be mapped onto a dynamical system in the vicinity a bifurcation. For mammalian hearing, a Hopf bifurcation description has been shown to work across a whole range of …
SensitivityVocal Bursts Type PredictionFeedback-Coupled Memory Systems: A Dynamical Model for Adaptive Coordination
This paper develops a dynamical framework for adaptive coordination in systems of interacting agents referred to here as Feedback-Coupled Memory Systems (FCMS). Instead of framing coordination as equilibrium optimization…
Stability Analysis and Intervention Strategies on a Coupled SIS Epidemic Model with Polar Opinion Dynamics
This paper investigates the spread of infectious diseases within a networked community by integrating epidemic transmission and public opinion dynamics. We propose a novel discrete-time networked SIS (Susceptible-Infecti…