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.
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Ruelle, D. Small random perturbations of dynamical systems and the definition of attractors. Commun.Math. Phys. 82, 137–151 (1981). https://doi.org/10.1007/BF01206949
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DOI: https://doi.org/10.1007/BF01206949