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Diffeomorphisms of multidimensional space with infinite set of stable periodic points. / Vasil'eva, E. V.

In: Vestnik St. Petersburg University: Mathematics, Vol. 45, No. 3, 01.07.2012, p. 115-124.

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Vasil'eva, E. V. / Diffeomorphisms of multidimensional space with infinite set of stable periodic points. In: Vestnik St. Petersburg University: Mathematics. 2012 ; Vol. 45, No. 3. pp. 115-124.

BibTeX

@article{a9b53842aede410ca474bf16a0377959,
title = "Diffeomorphisms of multidimensional space with infinite set of stable periodic points",
abstract = "Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.",
keywords = "diffeomorphism of a multidimensional space, homoclinic points, stable periodic points",
author = "Vasil'eva, {E. V.}",
year = "2012",
month = jul,
day = "1",
doi = "10.3103/S1063454112030077",
language = "English",
volume = "45",
pages = "115--124",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Diffeomorphisms of multidimensional space with infinite set of stable periodic points

AU - Vasil'eva, E. V.

PY - 2012/7/1

Y1 - 2012/7/1

N2 - Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.

AB - Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.

KW - diffeomorphism of a multidimensional space

KW - homoclinic points

KW - stable periodic points

UR - http://www.scopus.com/inward/record.url?scp=84866147662&partnerID=8YFLogxK

U2 - 10.3103/S1063454112030077

DO - 10.3103/S1063454112030077

M3 - Article

AN - SCOPUS:84866147662

VL - 45

SP - 115

EP - 124

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 39987055