Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles

2020/03/15 by В. С. Медведев, Medvedev, V., Евгений Викторович Жужома +1
Computer Science · Mathematics · Physics and Astronomy · #37D15 (Primary) 57R50 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2003.07728

openalex publication_date 2020/03/15 · openalex created_date 2020/07/10 · openalex updated_date 2026/07/28

Abstract

We describe the topological structure of closed manifolds of dimension no less than four which admit Morse-Smale diffeomorphisms such that its non-wandering set contains any number of sink periodic points, and any number of source periodic points, and few saddle periodic points.

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