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