Small random perturbations of dynamical systems and the definition of attractors

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/RUELLE/1977-1990/P_81_23/P_81_23.pdf

Ruelle, David

RUELLE

03/1981

Abstract : The strange attractors plotted by computers and seen in physical experiments do not necessarily have an open basin of attraction. In view of this we study a new definition of attractors based on ideas of Conley. We argue that the attractors observed in the presence of small random perturbations correspond to this new definition.

RESEAUX

P/81/23

©IHES

Citer ce document

RUELLE, “Small random perturbations of dynamical systems and the definition of attractors,” Archives de l'IHES, consulté le 23 juin 2024, https://omeka.ihes.fr/document/P_81_23.pdf.