On the concept of attractor

@article{Milnor1985OnTC,
  title={On the concept of attractor},
  author={John W. Milnor},
  journal={Communications in Mathematical Physics},
  year={1985},
  volume={99},
  pages={177-195}
}
  • J. Milnor
  • Published 1 June 1985
  • Mathematics
  • Communications in Mathematical Physics
This note proposes a definition for the concept of “attractor,” based on the probable asymptotic behavior of orbits. The definition is sufficiently broad so that every smooth compact dynamical system has at least one attractor. 
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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
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