Morse-Smale surfaced diffeomorphisms with orientable heteroclinic

2019/09/28 by A. I. Morozov, Morozov, A. I., O. V. Pochinka +1
Mathematics · #37C05 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1909.13149

openalex publication_date 2019/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we consider preserving orientation Morse-Smale diffeomorphisms on surfaces. Using the methods of factorization and linearizing neighborhoods we prove that such diffeomorphisms have a finite number of orientable heteroclinic orbits.

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