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Author

Anastasia S. Bizyaeva

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2 papers indexed here

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Preprint Sep 2026

Behavior of Nonlinear Opinion Dynamics over Large Networks

Opinion dynamics have been studied for decades across disciplines, with much of the theoretical literature focusing on behaviors such as consensus, polarization, and clustering. Although classic models can exhibit more complex opinion patterns in simulations, quantifying such distributions is not fully understood. To a...

Yu Xing, Anastasia S. Bizyaeva, K. H. Johansson · 0 citations
Preprint Sep 2026

Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction

Lyapunov-Schmidt reduction is a widely used dimensionality reduction technique for bifurcation analysis in high-dimensional systems. While classical formulations guarantee the local existence of reduced-order equations, they typically lack explicit quantitative estimates on the size of the neighbourhoods in which these...

Pranav Gupta, Ravi N. Banavar, Anastasia S. Bizyaeva · 0 citations

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