<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper we investigate stability of the integrability property of skew products of interval maps under small <italic>C</italic>1-smooth perturbations satisfying some conditions. We obtain here (sufficient) conditions of the partial integrability for maps under considerations. These conditions are formulated in the terms of properties of the unperturbed skew product. We give also the example of the partially integrable map.</abstract>

In this paper we investigate stability of the integrability property of skew products of interval maps under small C1-smooth perturbations satisfying some conditions. We obtain here (sufficient) conditions of the partial integrability for maps under considerations. These conditions are formulated in the terms of properties of the unperturbed skew product. We give also the example of the partially integrable map.

Small <italic>C</italic>1-smooth perturbations of skew products and the partial integrability property

National Research Nizhni Novgorod State University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Small -smooth perturbations of skew products and the partial integrability property

In this paper we investigate stability of the integrability property of skew products of interval maps under small C1-smooth perturbations satisfying some...

Small C¹-smooth perturbations of skew products and the partial integrability property

Published Online: Nov 30, 2020

Page range: 317 - 328

Received: Dec 25, 2019

Accepted: May 02, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00057

Keywords
skew products of interval maps, perturbation, integrability of a discrete dynamical system, partial integrability of a discrete dynamical system, curvelinear fiber

© 2020 L.S. Efremova et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Small C1-smooth perturbations of skew products and the partial integrability property

Published Online: Nov 30, 2020

Page range: 317 - 328

Received: Dec 25, 2019

Accepted: May 02, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00057

Keywordsskew products of interval maps, perturbation, integrability of a discrete dynamical system, partial integrability of a discrete dynamical system, curvelinear fiber

© 2020 L.S. Efremova et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Small C¹-smooth perturbations of skew products and the partial integrability property

Keywords
skew products of interval maps, perturbation, integrability of a discrete dynamical system, partial integrability of a discrete dynamical system, curvelinear fiber