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

dc.contributor.author	Олена В'ячеславівна Ноздрінова, Ольга Віталіївна Починка
dc.date.accessioned	2018-12-19T13:13:40Z
dc.date.available	2018-12-19T13:13:40Z
dc.date.issued	2018
dc.description.abstract	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 orbit of a positive type on any surface have exactly three node orbits. In addition, all possible types of periodic data for such diffeomorphisms are established. Namely, formulas are found expressing the periods of the sources through the periods of the sink and the saddle.
dc.identifier.issn	2409-8906
dc.identifier.uri	https://card-file.ontu.edu.ua/handle/123456789/6243
dc.identifier.uri	https://doi.org/10.15673/tmgc.v11i2.1025
dc.source	Proceedings of the International Geometry Center
dc.title	A calculation of periodic data of surface diffeomorphisms with one saddle orbit.