Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit

Research output: Contribution to journalArticleResearchpeer-review

Abstract

It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which are
bounded away from zero in any neighborhood of a non-transverse homoclinic point.
Original languageEnglish
Pages (from-to)30 - 35
Number of pages6
JournalVestnik St. Petersburg University: Mathematics
StatePublished - 31 Jan 2019

Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit",
abstract = "It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which arebounded away from zero in any neighborhood of a non-transverse homoclinic point.",
keywords = "plave diffeomophism, hyperbolic point, non-transverse homoclinic point, stability",
author = "Vasileva, {E. V.}",
note = "Vasileva, E.V. Stability of Periodic Points of a Diffeomorphism of a Plane in a Homoclinic Orbit, Vestnik St. Petersburg University: Mathematics. 2019. Vol. 52, issue 1, p. 30-35.",
year = "2019",
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day = "31",
language = "English",
pages = "30 -- 35",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",

}

Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit. / Vasileva, E. V.

In: Vestnik St. Petersburg University: Mathematics, 31.01.2019, p. 30 - 35.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Stability of Periodic Points of a Diffeomophism of a Plane in a Homoclinic Orbit

AU - Vasileva, E. V.

N1 - Vasileva, E.V. Stability of Periodic Points of a Diffeomorphism of a Plane in a Homoclinic Orbit, Vestnik St. Petersburg University: Mathematics. 2019. Vol. 52, issue 1, p. 30-35.

PY - 2019/1/31

Y1 - 2019/1/31

N2 - It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which arebounded away from zero in any neighborhood of a non-transverse homoclinic point.

AB - It is shown in this paper that under certain conditions imposed primarily on the method of tangency of the stable and unstable manifolds there can be a countable set of two-pass stable periodic points, the characteristic exponents of which arebounded away from zero in any neighborhood of a non-transverse homoclinic point.

KW - plave diffeomophism

KW - hyperbolic point

KW - non-transverse homoclinic point

KW - stability

M3 - Article

SP - 30

EP - 35

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

ER -