Lyudmila Efremova

Address: Nizhny Novgorod, 603950, Gagarin ave, 23

E-mail: lefunn@gmail.com

University: Nizhny Novgorod State University

Publications:

Efremova L. S.

$C^1$-Smooth $\Omega$-Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: $\Omega$-Stability
2024, vol. 29, no. 3, pp. 491-514

Abstract

We prove here the criterion of $C^1$- $\Omega$-stability of self-maps of a 3D-torus, which are skew products of circle maps. The $C^1$- $\Omega$-stability property is studied with respect to homeomorphisms of skew products type. We give here an example of the $\Omega$-stable map on a 3D-torus and investigate approximating properties of maps under consideration.

Keywords: skew product of circle maps, quotient map, fiber maps, $C^1$-stability of a family of fiber maps as a whole, $C^1$- $\Omega$-stable skew product

Citation: Efremova L. S., $C^1$-Smooth $\Omega$-Stable Skew Products and Completely Geometrically Integrable Self-Maps of 3D-Tori, I: $\Omega$-Stability, Regular and Chaotic Dynamics, 2024, vol. 29, no. 3, pp. 491-514

DOI:10.1134/S1560354724520010

Back to the list