Small random perturbations of dynamical systems and the definition of attractors

@article{Ruelle1981SmallRP,
  title={Small random perturbations of dynamical systems and the definition of attractors},
  author={David Ruelle},
  journal={Communications in Mathematical Physics},
  year={1981},
  volume={82},
  pages={137-151}
}
  • D. Ruelle
  • Published 1 March 1981
  • Mathematics
  • Communications in Mathematical Physics
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. 
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