Standard

Shadowing near nonhyperbolic fixed points. / Petrov, A.A.; Pilyugin, S.Yu.

в: Discrete and Continuous Dynamical Systems, Том 34, № 9, 2014, стр. 3761-3772.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Petrov, AA & Pilyugin, SY 2014, 'Shadowing near nonhyperbolic fixed points', Discrete and Continuous Dynamical Systems, Том. 34, № 9, стр. 3761-3772. https://doi.org/10.3934/dcds.2014.34.3761

APA

Petrov, A. A., & Pilyugin, S. Y. (2014). Shadowing near nonhyperbolic fixed points. Discrete and Continuous Dynamical Systems, 34(9), 3761-3772. https://doi.org/10.3934/dcds.2014.34.3761

Vancouver

Petrov AA, Pilyugin SY. Shadowing near nonhyperbolic fixed points. Discrete and Continuous Dynamical Systems. 2014;34(9):3761-3772. https://doi.org/10.3934/dcds.2014.34.3761

Author

Petrov, A.A. ; Pilyugin, S.Yu. / Shadowing near nonhyperbolic fixed points. в: Discrete and Continuous Dynamical Systems. 2014 ; Том 34, № 9. стр. 3761-3772.

BibTeX

@article{920ad5715cb744c9827cb72900d8e916,
title = "Shadowing near nonhyperbolic fixed points",
abstract = "We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.",
keywords = "Dynamical system, shadowing, fixed point, Lyapunov function",
author = "A.A. Petrov and S.Yu. Pilyugin",
year = "2014",
doi = "10.3934/dcds.2014.34.3761",
language = "English",
volume = "34",
pages = "3761--3772",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "9",

}

RIS

TY - JOUR

T1 - Shadowing near nonhyperbolic fixed points

AU - Petrov, A.A.

AU - Pilyugin, S.Yu.

PY - 2014

Y1 - 2014

N2 - We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.

AB - We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.

KW - Dynamical system

KW - shadowing

KW - fixed point

KW - Lyapunov function

U2 - 10.3934/dcds.2014.34.3761

DO - 10.3934/dcds.2014.34.3761

M3 - Article

VL - 34

SP - 3761

EP - 3772

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 9

ER -

ID: 7030138