Dynamics of skew products of interval maps

Efremova, L. S.

doi:10.1070/rm9745

Cited by 12 publications

(2 citation statements)

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“…Endow this space with the C 1 -topology generated by the standard C 1 -norm || • || 1 . The structure of the functional space T 1 ω, 0 (I) and dynamical properties of skew products from this space are studied in [9] - [16].…”

Section: Introductionmentioning

confidence: 99%

“…Our definition of integrability of dynamical systems with discrete time given in [4] (see also [16]) follows the paper [20] and generalizes the definition from [20] given for polynomials and rational maps, on the case of arbitrary maps. (The last set contains maps that can not be obtained by the procedure of digitization of differential equations.)…”

Section: Introductionmentioning

confidence: 99%

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Small C ¹-smooth perturbations of skew products and the partial integrability property

Efremova

2020

Applied Mathematics and Nonlinear Sciences

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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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%