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Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point. / Vasil'eva, E. V.

In: Differential Equations, Vol. 48, No. 10, 01.12.2012, p. 1335-1340.

Research output: Contribution to journal › Article › peer-review

Harvard

Vasil'eva, EV 2012, 'Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point', Differential Equations, vol. 48, no. 10, pp. 1335-1340. https://doi.org/10.1134/S0012266112100023

APA

Vasil'eva, E. V. (2012). Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point. Differential Equations, 48(10), 1335-1340. https://doi.org/10.1134/S0012266112100023

Vancouver

Vasil'eva EV. Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point. Differential Equations. 2012 Dec 1;48(10):1335-1340. https://doi.org/10.1134/S0012266112100023

Author

Vasil'eva, E. V. / Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point. In: Differential Equations. 2012 ; Vol. 48, No. 10. pp. 1335-1340.

BibTeX

@article{542341e651a84d24b5b7174da6806119,
title = "Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point",
abstract = "We consider self-diffeomorphisms of the plane of the class Cr (1 ≤ r & ∞) with a fixed hyperbolic point and a nontransversal point homoclinic to it. We present a method for constructing a set of diffeomorphisms for which the neighborhood of a homoclinic point contains countably many stable periodic points with characteristic exponents bounded away from zero.",
author = "Vasil'eva, {E. V.}",
year = "2012",
month = dec,
day = "1",
doi = "10.1134/S0012266112100023",
language = "English",
volume = "48",
pages = "1335--1340",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "10",

}

RIS

TY - JOUR

T1 - Smooth diffeomorphisms of the plane with stable periodic points in a neighborhood of a homoclinic point

AU - Vasil'eva, E. V.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - We consider self-diffeomorphisms of the plane of the class Cr (1 ≤ r & ∞) with a fixed hyperbolic point and a nontransversal point homoclinic to it. We present a method for constructing a set of diffeomorphisms for which the neighborhood of a homoclinic point contains countably many stable periodic points with characteristic exponents bounded away from zero.

AB - We consider self-diffeomorphisms of the plane of the class Cr (1 ≤ r & ∞) with a fixed hyperbolic point and a nontransversal point homoclinic to it. We present a method for constructing a set of diffeomorphisms for which the neighborhood of a homoclinic point contains countably many stable periodic points with characteristic exponents bounded away from zero.

UR - http://www.scopus.com/inward/record.url?scp=84871349408&partnerID=8YFLogxK

U2 - 10.1134/S0012266112100023

DO - 10.1134/S0012266112100023

M3 - Article

AN - SCOPUS:84871349408

VL - 48

SP - 1335

EP - 1340

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 10

ER -

ID: 39986558