Asymptotic behavior of coupled dynamical systems with multiscale aspects - Archive ouverte HAL
Article Dans Une Revue Journal of Differential Equations Année : 2010

Asymptotic behavior of coupled dynamical systems with multiscale aspects

Résumé

We study the asymptotic behavior, as time variable t goes to infinity, of nonautonomous dynamical systems involving multiscale features. This system models the emergence of various collective behaviors in game theory, as well as the asymptotic control of coupled systems. We show several results ranging from weak ergodic to strong convergence of the trajectories.
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Dates et versions

hal-00803408 , version 1 (21-03-2013)

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Hedy Attouch, Marc-Olivier Czarnecki. Asymptotic behavior of coupled dynamical systems with multiscale aspects. Journal of Differential Equations, 2010, 248 (6), pp.1315-1344. ⟨10.1016/j.jde.2009.06.014⟩. ⟨hal-00803408⟩
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