On gradient-like random dynamical systems

Hmissi, Aya, Hmissi, Farida, and Hmissi, Mohamed. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " On gradient-like random dynamical systems ." ESAIM: Proceedings 36 (2012): 217-228. <http://eudml.org/doc/251261>.

@article{Hmissi2012,
abstract = {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.},
author = {Hmissi, Aya, Hmissi, Farida, Hmissi, Mohamed},
editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},
journal = {ESAIM: Proceedings},
keywords = {Random dynamical system (RDS); Translation, Cocycle; Random homeomorphism; Gradient-like RDS; Random section; Liapunov function; Parallelizable RDS; Backward cocycle; random dynamical system (RDS); translation, cocycle; random homeomorphism; gradient-like RDS; random section; parallelizable RDS; backward cocycle},
language = {eng},
month = {8},
pages = {217-228},
publisher = {EDP Sciences},
title = { On gradient-like random dynamical systems },
url = {http://eudml.org/doc/251261},
volume = {36},
year = {2012},
}

TY - JOUR
AU - Hmissi, Aya
AU - Hmissi, Farida
AU - Hmissi, Mohamed
AU - Fournier-Prunaret, D.
AU - Gardini, L.
AU - Reich, L.
TI - On gradient-like random dynamical systems
JO - ESAIM: Proceedings
DA - 2012/8//
PB - EDP Sciences
VL - 36
SP - 217
EP - 228
AB - 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.
LA - eng
KW - Random dynamical system (RDS); Translation, Cocycle; Random homeomorphism; Gradient-like RDS; Random section; Liapunov function; Parallelizable RDS; Backward cocycle; random dynamical system (RDS); translation, cocycle; random homeomorphism; gradient-like RDS; random section; parallelizable RDS; backward cocycle
UR - http://eudml.org/doc/251261
ER -