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Article

A calculation of periodic data of surface diffeomorphisms with one saddle orbit

Proceedings of the International Geometry Center. 2018. Vol. 11. No. 2. P. 1-15.

In this paper it is proved that every orientable surface admits an orientation-preserving Morse-Smale diffeomorphism with one saddle orbit. It is shown that these diffeomorphisms have exactly three node orbits. In addition, all possible types of periodic data for such diffeomorphisms are established.