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Morse-Smale Surfaced Diffeomorphisms with Orientable Heteroclinic

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Abstract

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

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Funding

The proof of Theorem 1 is supported by RSF (Grant No. 17-11-01041) and the proof of auxiliary results is supported by Basic Research Program at the National Research University Higher School of Economics (HSE) in 2019.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Nizhnij Novgorod, Russia

    A. Morozov & O. Pochinka

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  1. A. Morozov
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  2. O. Pochinka
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Correspondence to A. Morozov.

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Morozov, A., Pochinka, O. Morse-Smale Surfaced Diffeomorphisms with Orientable Heteroclinic. J Dyn Control Syst 26, 629–639 (2020). https://doi.org/10.1007/s10883-019-09469-y

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  • DOI: https://doi.org/10.1007/s10883-019-09469-y

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