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Morse-Smale systems and horseshoes for three dimensional singular flows

Published 5 Feb 2013 in math.DS | (1302.0946v1)

Abstract: We prove that for every three-dimensional vector field, either it can be accumulated by Morse-Smale ones, or it can be accumulated by ones with a transverse homoclinic intersection of some hyperbolic periodic orbit in the $C1$ topology.

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Authors (2)

  1. Shaobo Gan 
  2. Dawei Yang 

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