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math.DS2023
On a structure of non-wandering set of an -stable 3-diffeomorphism possessing a hyperbolic attractor
Marina Barinova, Olga Pochinka, Evgeniy Yakovlev
This paper belongs to a series of papers devoted to the study of the structure of the non-wandering set of an A-diffeomorphism. We study such set for an -stable diffeomo…
math.DS2018★ 5 cited
On interrelations between divergence-free and Hamiltonian dynamics
L. Lerman, E. Yakovlev
A mathematically correct description is presented on the interrelations between the dynamics of divergence free vector fields on an oriented 3-dimensional manifold and the dyna…
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…