Email this article Suspension over rough circle transformations
- Authors: Golikova I.V., Pochinka O.V.
- Issue: Vol 8, No 13 (2020)
- Section: Articles
- Submitted: 09.10.2025
- URL: https://ogarev-online.ru/2311-2468/article/view/322887
- ID: 322887
Cite item
Full Text
Abstract
The first section of this article presents the basic definitions of the topic, the second chapter focuses on structurally stable circle transformations, and the last chapter is dedicated to suspensions on model transformation of 1. The basic results of the research are theorem 3.1 about equivalence of suspensions on model diffeomorphisms and statement 4.1 that equivalence of suspensions on orientation-reversing diffeomorphisms implies the diffeomorphisms conjugacy.
About the authors
I. V. Golikova
Email: ogarevonline@yandex.ru
Russian Federation,
O. V. Pochinka
Author for correspondence.
Email: ogarevonline@yandex.ru
Russian Federation,
References
- Grines V., Medvedev T., Pochinka O. Dynamical Systems on 2- and 3- Manifolds. – Switzerland: Springer International Publishing, 2016. – 313 p.
- Kruglov V., Malyshev D., Pochinka O. Topological Classification of Ω-stable Flows on Surfaces by Means of Effectively Distinguishable Multigraphs // Discrete and Continuous Dynamical Systems. – 2018. – Vol. 38. No. 9. – P. 4305– 4327.
- Майер А. Г. Грубое преобразование окружности в окружность // Ученые записки Горьк. гос. ун-та. – 1939. – Т. 12. – С. 215–229.
- Peixoto M. M. On structural stability // Ann. Math. – 1959. – Vol. 69. – P. 199–222.
Supplementary files
