Geodesic
On gradient-like random dynamical systems
Aya Hmissi1 ; Farida Hmissi1 ; Mohamed Hmissi1
1 Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis Elmanar, TN-2092 Elmanar, Tunis, Tunisia
ESAIM. Proceedings, Tome 36 (2012), pp. 217-228.

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This paper deals with some characterizations of gradient-like continuous random dynamical systems (RDS). More precisely, we establish an equivalence with the existence of random continuous section or with the existence of continuous and strict Liapunov function. However and contrary to the deterministic case, parallelizable RDS appear as a particular case of gradient-like RDS.The obtained results are generalizations of well-known analogous theorems in the framework of deterministic dynamical systems.
DOI : 10.1051/proc/201236018

Aya Hmissi 1 ; Farida Hmissi 1 ; Mohamed Hmissi 1

1 Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis Elmanar, TN-2092 Elmanar, Tunis, Tunisia 
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     title = {On gradient-like random dynamical systems},
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Aya Hmissi; Farida Hmissi; Mohamed Hmissi. On gradient-like random dynamical systems. ESAIM. Proceedings, Tome 36 (2012), pp. 217-228. doi : 10.1051/proc/201236018. http://geodesic.mathdoc.fr/articles/10.1051/proc/201236018/

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