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Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Local bifurcation analysis plays a central role in understanding qualitative transitions in networked nonlinear dynamical systems, including dynamic neural network and opinion dyna…
eess.SY2025
Bifurcation analysis of an opinion dynamics model coupled with an environmental dynamics
Anthony Couthures, Anastasia Bizyaeva, Vineeth S. Varma +2
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…