28 citations · 53 across the 20 of their papers we have counts for
23 papers
Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction
Pranav Gupta, Ravi Banavar, Anastasia Bizyaeva
Lyapunov-Schmidt reduction is a widely used dimensionality reduction technique for bifurcation analysis in high-dimensional systems. While classical formulations guarantee the loca…
Behavior of Nonlinear Opinion Dynamics over Large Networks
Yu Xing, Anastasia Bizyaeva, Karl H. Johansson
Opinion dynamics have been studied for decades across disciplines, with much of the theoretical literature focusing on behaviors such as consensus, polarization, and clustering. Al…
Constraint-Induced Redistribution of Social Influence in Nonlinear Opinion Dynamics
Vishnudatta Thota, Anastasia Bizyaeva
We study how intrinsic hard constraints on the decision dynamics of social agents shape collective decisions on multiple alternatives in a heterogeneous group. Such constraints may…
Census-Based Population Autonomy For Distributed Robotic Teaming
Tyler M. Paine, Anastasia Bizyaeva, Michael R. Benjamin
Collaborating teams of robots show promise due in their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for syst…
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…
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…