Nonwandering Sets of C 1-Smooth Skew Products of Interval Maps with Complicated Dynamics of Quotient Map

Efremova, L. S.

doi:10.1007/s10958-016-3085-6

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Sufficient Conditions Of Partial Integrability Of the Map (1)1

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2017

2023

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Cited by 6 publications

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“…Set n * = n * (y j ) (1 ≤ j ≤ q). Using continuity of the partial derivative ∂ ∂ x ϕ y, n * (x) on I we verify that the equality (14) holds.…”

Section: Sufficient Conditions Of Partial Integrability Of the Map (1)mentioning

confidence: 93%

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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“…Set n * = n * (y j ) (1 ≤ j ≤ q). Using continuity of the partial derivative ∂ ∂ x ϕ y, n * (x) on I we verify that the equality (14) holds.…”

Section: Sufficient Conditions Of Partial Integrability Of the Map (1)mentioning

confidence: 93%

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

Efremova

2020

Applied Mathematics and Nonlinear Sciences

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Dynamics of skew products of interval maps

Efremova

2017

Russ. Math. Surv.

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Small perturbations of smooth skew products and Sharkovsky's theorem

Efremova

2020

Journal of Difference Equations and Applications

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Nonwandering Sets of C 1-Smooth Skew Products of Interval Maps with Complicated Dynamics of Quotient Map

Cited by 6 publications

References 6 publications

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

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

Dynamics of skew products of interval maps

Small perturbations of smooth skew products and Sharkovsky's theorem

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Nonwandering Sets of C 1-Smooth Skew Products of Interval Maps with Complicated Dynamics of Quotient Map

Cited by 6 publications

References 6 publications

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

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

Dynamics of skew products of interval maps

Small perturbations of smooth skew products and Sharkovsky's theorem

Contact Info

Product

Resources

About

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

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