Asymptotic behavior of coupled dynamical systems with multiscale aspects

By Hédy Attouch, Marc-Olivier Czarnecki. 2009

87 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/0d3a6e2a7ff933a720269775bd3ac97b6565955f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Ernö Robert Csetnek
2. Radu Ioan Bot
3. Boushra Abbas
4. Hédy Attouch

In Computational Theory and Mathematics

1. Ernö Robert Csetnek
2. Radu Ioan Bot
3. Boushra Abbas
4. Hédy Attouch
5. Yekini Shehu
6. Paul-Emile Maingé
7. Antonin Chambolle
8. Yangyang Peng

In Modeling and Simulation

1. Radu Ioan Bot
2. Ernö Robert Csetnek
3. Hédy Attouch
4. Antonin Chambolle
5. Paul-Emile Maingé
6. Muhammad Aslam Noor
7. Felipe Alvarez
8. Charles Dossal

Citations in the corpus

• Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator (2014, background): “There is an extensive literature on this topic, see [5], [6], [17], [23], [24], [28], [32], [35], [39], and references therein.”
• Forward-Backward and Tseng’s Type Penalty Schemes for Monotone Inclusion Problems (2013, background): “Let us mention that hypothesis (ii), which is the discretized counterpart of a condition introduced in [1] in the context of continuous-time nonautonomous differential inclusions, is satisfied, if ∑ n∈N λn βn < +∞ and is bounded below by a multiple of the square of the distance to C (see [2]).”