8 citations · 32 across the 13 of their papers we have counts for
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math.DS2015
Geometry of slow-fast Hamiltonian systems and Painlevé equations
L. M. Lerman, E. I. Yakovlev
In the first part of the paper we introduce some geometric tools needed to describe slow-fast Hamiltonian systems on smooth manifolds. We start with a smooth Poisson bundle $p: M\t…
nlin.CD2015★ 3 cited
Mixed Dynamics in a Parabolic Standard Map
L. M. Lerman, J. D. Meiss
We use numerical and analytical tools to demonstrate arguments in favor of the existence of a family of smooth, symplectic diffeomorphisms of the two-dimensional torus that have bo…