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About: Axiom A     Goto   Sponge   NotDistinct   Permalink

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In mathematics, Smale's axiom A defines a class of dynamical systems which have been extensively studied and whose dynamics is relatively well understood. A prominent example is the Smale horseshoe map. The term "axiom A" originates with Stephen Smale. The importance of such systems is demonstrated by the , which states that, 'for all practical purposes', a many-body is approximated by an Anosov system.