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On the stability of hyperbolic attractors of systems of differential equations. / Begun, N. A.; Pliss, V. A.; Sell, J. R.

In: Differential Equations, Vol. 52, No. 2, 01.02.2016, p. 139-148.

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Begun, N. A. ; Pliss, V. A. ; Sell, J. R. / On the stability of hyperbolic attractors of systems of differential equations. In: Differential Equations. 2016 ; Vol. 52, No. 2. pp. 139-148.

BibTeX

@article{4416864a481e46fba78b2d73bc039bd7,
title = "On the stability of hyperbolic attractors of systems of differential equations",
abstract = "We study small C1-perturbations of systems of differential equations that have a weakly hyperbolic invariant set. We show that the weakly hyperbolic invariant set is stable even if the Lipschitz condition fails.",
author = "Begun, {N. A.} and Pliss, {V. A.} and Sell, {J. R.}",
note = "Publisher Copyright: {\textcopyright} 2016, Pleiades Publishing, Ltd. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",
year = "2016",
month = feb,
day = "1",
doi = "10.1134/S0012266116020014",
language = "English",
volume = "52",
pages = "139--148",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - On the stability of hyperbolic attractors of systems of differential equations

AU - Begun, N. A.

AU - Pliss, V. A.

AU - Sell, J. R.

N1 - Publisher Copyright: © 2016, Pleiades Publishing, Ltd. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016/2/1

Y1 - 2016/2/1

N2 - We study small C1-perturbations of systems of differential equations that have a weakly hyperbolic invariant set. We show that the weakly hyperbolic invariant set is stable even if the Lipschitz condition fails.

AB - We study small C1-perturbations of systems of differential equations that have a weakly hyperbolic invariant set. We show that the weakly hyperbolic invariant set is stable even if the Lipschitz condition fails.

UR - http://www.scopus.com/inward/record.url?scp=84962859094&partnerID=8YFLogxK

U2 - 10.1134/S0012266116020014

DO - 10.1134/S0012266116020014

M3 - Article

AN - SCOPUS:84962859094

VL - 52

SP - 139

EP - 148

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 2

ER -

ID: 71239638