Asymptotic behavior of coupled dynamical systems with multiscale aspects

2009/04/02 by Hédy Attouch, Attouch, Hedy, Marc-Olivier Czarnecki +1 · 3 citations
Economics, Econometrics and Finance · Mathematics · Medicine · #37N40 #46N10 #49M30 #65K05 #65K10 #90B50 #90C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.0904.0397

openalex publication_date 2009/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the asymptotic behavior, as time t goes to infinity, of nonautonomous dynamical systems involving multiscale features. These systems model the emergence of various collective behaviors in game theory, as well as the asymptotic control of coupled sytems.

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• Extragradient methods with complexity guarantees for hierarchical variational inequalities
• Asymptotic Properties of a Forward-Backward-Forward Differential Equation and Its Discrete Version for Solving Quasimonotone Variational Inequalities

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