Morse-Smale surfaced diffeomorphisms with orientable heteroclinic

28 Sep 2019 · Morozov A. I., Pochinka O. V. ·

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.