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math.DS2003
Rotation Numbers and Instability Sets
John Franks
Translation and rotation numbers have played an interesting and important role in the qualitative description of various dynamical systems. In this exposition we are especially int…
math.DS2003★ 5 cited
A Hölder continuous vector field tangent to many foliations
Christian Bonatti, John Franks
We construct an example of a Hölder continuous vector field on the plane which is tangent to all foliations in a continuous family of pairwise distinct foliations. Given any…