14 citations · 58 across the 28 of their papers we have counts for
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math.DS2011★ 8 cited
A non-differentiable essential irrational invariant curve for a symplectic twist map
Marie-Claude Arnaud
We construct a symplectic twist map f of the annulus that has an essential invariant curve C such that: --C is not differentiable; -- the dynamic of f restricted to C is conj…
math.DS2011★ 9 cited
Lower and upper bounds for the Lyapunov exponents of twisting dynamics: a relationship between the exponents and the angle of the Oseledet's splitting
Marie-Claude Arnaud
We consider locally minimizing measures for the conservative twist maps of the -dimensional annulus or for the Tonelli Hamiltonian flows defined on a cotangent bundle . Fo…