23 citations · 42 across the 7 of their papers we have counts for
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math.GT2008
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…
math.DS2008★ 1 cited
Self-indexing energy function for Morse-Smale diffeomorphisms on 3-manifolds
Viatcheslav Grines, Francois Laudenbach, Olga Pochinka
The paper is devoted to finding conditions to the existence of a self-indexing energy function for Morse-Smale diffeomorphisms on a 3-manifold. These conditions involve how the sta…