Communications in Mathematical Physics

, Volume 82, Issue 1, pp 137–151

Small random perturbations of dynamical systems and the definition of attractors

  • David Ruelle

DOI: 10.1007/BF01206949

Cite this article as:
Ruelle, D. Commun.Math. Phys. (1981) 82: 137. doi:10.1007/BF01206949


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.

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • David Ruelle
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance