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

In the paper it is proved that any orientable surface admits an orientation-preserving diffeomorphism with one saddle orbit. It distinguishes in principle the considered class of systems from source-sink diffeomorphisms existing only on the sphere. It is shown that diffeomorphisms with one saddle or...

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Bibliographic Details
Main Authors: Олена В'ячеславівна Ноздрінова, Ольга Віталіївна Починка
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2018-06-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http:////journals.onaft.edu.ua/index.php/geometry/article/view/1025