31 citations · 106 across the 27 of their papers we have counts for
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On the topology of 3-manifolds admitting Morse-Smale diffeomorphisms with four fixed points of pairwise different Morse indices
O. Pochinka, E. Talanova
In the present paper we consider class of orientation preserving Morse-Smale diffeomorphisms , which defined on closed 3-manifold , and whose non-wandering set consist…
Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds
Ch Bonatti, V Grines, F Laudenbach +1
We show that, up to topological conjugation, the equivalence class of a Morse-Smale diffeomorphism without heteroclinic curves on 3-manifold is completely defined by an em- bedding…
Dynamically ordered energy function for Morse-Smale diffeomorphisms on 3-manifolds
Viatcheslav Grines, Francois Laudenbach, Olga Pochinka
This note deals with arbitrary Morse-Smale diffeomorphisms in dimension 3 and extends ideas from \cite{GrLaPo}, \cite{GrLaPo1}, where gradient-like case was considered. We introduc…
Quasi-energy function for diffeomorphisms with wild separatrices
Viatcheslav Grines, Francois Laudenbach, Olga Pochinka
According to Pixton, there are Morse-Smale diffeomorphisms of the 3-sphere which have no energy function, that is a Lyapunov function whose critical points are all periodic points…