Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.
Язык оригиналаанглийский
Страницы (с-по)163-179
ЖурналMathematics and Computers in Simulation
DOI
СостояниеОпубликовано - 2014

Отпечаток

Homoclinic Point
Fixed point
Homoclinic
Periodic Points
Tangent line

Цитировать

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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.",
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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.

Результат исследований: Научные публикации в периодических изданияхстатья

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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

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

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JO - Mathematics and Computers in Simulation

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