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20202026
most citedNonlinear Opinion Dynamics with Tunable Sensitivity

113 citations · 176 across the 22 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.DS2024

Opinion-driven risk perception and reaction in SIS epidemics

Marcela Ordorica Arango, Anastasia Bizyaeva, Simon A. Levin +1

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection.…

math.DS2024

Fast-and-flexible decision-making with modulatory interactions

Rodrigo Moreno-Morton, Anastasia Bizyaeva, Naomi Ehrich Leonard +1

Multi-agent systems in biology, society, and engineering are capable of making decisions through the dynamic interaction of their elements. Nonlinearity of the interactions is key…

eess.SY2024

Learning Communities from Equilibria of Nonlinear Opinion Dynamics

Yu Xing, Anastasia Bizyaeva, Karl H. Johansson

This paper studies community detection for a nonlinear opinion dynamics model from its equilibria. It is assumed that the underlying network is generated from a stochastic block mo…

eess.SY2024

Adaptive bias for dissensus in nonlinear opinion dynamics with application to evolutionary division of labor games

Tyler M. Paine, Anastasia Bizyaeva, Michael R. Benjamin

This paper addresses the problem of adaptively controlling the bias parameter in nonlinear opinion dynamics (NOD) to allocate agents into groups of arbitrary sizes for the purpose…

math.AP2024

Spatially-invariant opinion dynamics on the circle

Giovanna Amorim, Anastasia Bizyaeva, Alessio Franci +1

We propose and analyze a nonlinear opinion dynamics model for an agent making decisions about a continuous distribution of options in the presence of input. Inspired by perceptual…

eess.SY2024

Estimates on the domain of validity for Lyapunov-Schmidt reduction

Pranav Gupta, Anastasia Bizyaeva, Ravi Banavar

Lyapunov-Schmidt reduction is a dimensionality reduction technique in nonlinear systems analysis that is commonly utilised in the study of bifurcation problems in high-dimensional…