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Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points. / Kryzhevich, S.

в: Mathematics and Computers in Simulation, 2014, стр. 163-179.

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Kryzhevich, S. / Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points. в: Mathematics and Computers in Simulation. 2014 ; стр. 163-179.

BibTeX

@article{fa70718aaedb4a21ba1acd2ee09ecabf,
title = "Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points",
abstract = "We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.",
keywords = "Partial hyperbolicity, Center unstable manifold, Homoclinic point, Chaos",
author = "S. Kryzhevich",
year = "2014",
doi = "http://dx.doi.org/10.1016/j.matcom.2012.07.007",
language = "English",
pages = "163--179",
journal = "Mathematics and Computers in Simulation",
issn = "0378-4754",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

AU - Kryzhevich, S.

PY - 2014

Y1 - 2014

N2 - We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.

AB - We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.

KW - Partial hyperbolicity

KW - Center unstable manifold

KW - Homoclinic point

KW - Chaos

U2 - http://dx.doi.org/10.1016/j.matcom.2012.07.007

DO - http://dx.doi.org/10.1016/j.matcom.2012.07.007

M3 - Article

SP - 163

EP - 179

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

ER -

ID: 5404614