Small perturbations of smooth skew products and Sharkovsky's theorem-Reference-Cited by-同舟云学术

Small perturbations of smooth skew products and Sharkovsky's theorem

Published:2020-08-02 Issue:8 Volume:26 Page:1192-1211
ISSN:1023-6198
Container-title:Journal of Difference Equations and Applications
language:en
Short-container-title:Journal of Difference Equations and Applications

Author:

Efremova L. S.¹²

Affiliation:

1. National Research University of Nizhni Novgorod, Nizhni Novgorod, Russia

2. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

Publisher

Informa UK Limited

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/10236198.2020.1804556

Reference27 articles.

1. D.V. Anosov, Structurally stable systems, Tr. Mat. Inst. Steklova. [English translation], Proc. Steklov Inst. Math. 169 (1986), pp. 61–95, original work published 1985.

2. D.V. Anosov and E.V. Zhuzhoma, Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings, Tr. Mat. Inst. Steklova. [English translation], Proc. Steklov Inst. Math. 2(249) (2005), pp. 1–219, original work published 2005

3. S.S. Belmesova and L.S. Efremova, On the concept of integrability for discrete dynamical systems. Investigation of wandering points of some trace map, Nonlinear maps and their Applic., Springer Proc. Math. Statist., Vol. 112, Springer, Cham, 2015, pp. 127–158.

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. $$C^{1}$$-Smooth $$\Omega$$-Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: $$\Omega$$-Stability;Regular and Chaotic Dynamics;2024-05

2. The paths of nine mathematicians to the realm of dynamical systems;Journal of Difference Equations and Applications;2024-01-02

3. Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products;Journal of Difference Equations and Applications;2023-04-26

4. Introduction to Completely Geometrically Integrable Maps in High Dimensions;Mathematics;2023-02-12

5. One-dimensional dynamical systems;Russian Mathematical Surveys;2021-10-01