Asymptotic behavior of coupled dynamical systems with multiscale aspects

TL;DR

This paper investigates the long-term behavior of nonautonomous multiscale dynamical systems, revealing insights into collective behaviors and control mechanisms in game theory and coupled systems.

Contribution

It provides a theoretical analysis of the asymptotic behavior of complex multiscale dynamical systems with applications in game theory and control.

Findings

Characterization of asymptotic states of multiscale systems

Insights into collective behavior emergence

Framework for long-term analysis of coupled systems

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.