, Volume 82, Issue 1, pp 137-151

Small random perturbations of dynamical systems and the definition of attractors

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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.

Communicated by A Jaffe