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Diffeomorphisms of the plane with stable periodic points. / Vasil'eva, E. V.

In: Differential Equations, Vol. 48, No. 3, 01.03.2012, p. 309-317.

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Vasil'eva, E. V. / Diffeomorphisms of the plane with stable periodic points. In: Differential Equations. 2012 ; Vol. 48, No. 3. pp. 309-317.

BibTeX

@article{fb1ffc4809d8489a84b146b9bf8a4576,
title = "Diffeomorphisms of the plane with stable periodic points",
abstract = "We consider self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic point. We show that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.",
author = "Vasil'eva, {E. V.}",
year = "2012",
month = mar,
day = "1",
doi = "10.1134/S0012266112030019",
language = "English",
volume = "48",
pages = "309--317",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Diffeomorphisms of the plane with stable periodic points

AU - Vasil'eva, E. V.

PY - 2012/3/1

Y1 - 2012/3/1

N2 - We consider self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic point. We show that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.

AB - We consider self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic point. We show that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.

UR - http://www.scopus.com/inward/record.url?scp=84860646189&partnerID=8YFLogxK

U2 - 10.1134/S0012266112030019

DO - 10.1134/S0012266112030019

M3 - Article

AN - SCOPUS:84860646189

VL - 48

SP - 309

EP - 317

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 3

ER -

ID: 39986504