10 citations · 12 across the 3 of their papers we have counts for
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math.DS2015★ 2 cited
Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems
Laurent Lazzarini, Jean-Pierre Marco, David Sauzin
A wandering domain for a diffeomorphism is an open connected set whose iterates are pairwise disjoint. We endow A^n = T^n x R^n with its usual exact symplectic structure. An integr…
math.DS2012★ 10 cited
Polynomial entropies for Bott nondegenerate Hamiltonian systems
Clémence Labrousse, Jean-Pierre Marco
In this paper, we study the entropy of a Hamiltonian flow in restriction to an enregy level where it admits a first integral which is nondegenerate in the Bott sense. It is easy to…
math.DS2009
Dynamical complexity and symplectic integrability
Jean-Pierre Marco
We introduce two numerical conjugacy invariants for dynamical systems -- the complexity and weak complexity indices -- which are well-suited for the study of "completely integrable…