Complete invariant for two-dimentional Morse-Smale diffeomorphisms
I. Vlasenko
Abstract
We consider general Morse-Smale diffeomorphisms on a closed orientable two-dimentional surface. In this paper it is proved that the complete topological invariant of Morse-Smale diffeomorphisms is finite, the algorithm of the construction of the complete topological invariant in explicit form is given and necessary and sufficient conditions of topological conjugacy of Morse-Smale diffeomorphisms is obtained.
Create a lesson
Related papers
Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
Justin H. Porter
Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
Claudio Altafini
Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
Weikun He, Yuxiang Jiao, Disheng Xu
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
Finiteness of planar central configurations of five bodies for all positive masses
Tejasvi Singh Tomar
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao