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On the concept of attractor

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Abstract

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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Communicated by O. E. Lanford

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Milnor, J. On the concept of attractor. Commun.Math. Phys. 99, 177–195 (1985). https://doi.org/10.1007/BF01212280

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  • DOI: https://doi.org/10.1007/BF01212280

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