Ergodic theory of chaos and strange attractors

  title={Ergodic theory of chaos and strange attractors},
  author={Jean-Pierre Eckmann and David Ruelle},
  journal={Reviews of Modern Physics},
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool the geometric theory of differentiable dynamical systems, moderately excited chaotic systems require new tools, which are provided by the ergodic theory of dynamical systems. This theory has reached a stage where fruitful contact and exchange with physical experiments has become widespread. The present review… 
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