Standard

Lyapunov functions, shadowing and topological stability. / Petrov, Alexey A.; Pilyugin, Sergei Yu.

в: Topological Methods in Nonlinear Analysis, Том 43, № 1, 2014, стр. 231-240.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Petrov, AA & Pilyugin, SY 2014, 'Lyapunov functions, shadowing and topological stability', Topological Methods in Nonlinear Analysis, Том. 43, № 1, стр. 231-240. <http://arxiv.org/pdf/1311.3872v1.pdf>

APA

Petrov, A. A., & Pilyugin, S. Y. (2014). Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis, 43(1), 231-240. http://arxiv.org/pdf/1311.3872v1.pdf

Vancouver

Petrov AA, Pilyugin SY. Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis. 2014;43(1):231-240.

Author

Petrov, Alexey A. ; Pilyugin, Sergei Yu. / Lyapunov functions, shadowing and topological stability. в: Topological Methods in Nonlinear Analysis. 2014 ; Том 43, № 1. стр. 231-240.

BibTeX

@article{ab87921831bc41c385f9428c604f5ded,
title = "Lyapunov functions, shadowing and topological stability",
abstract = "We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.",
keywords = "dynamical systems, shadowing, topological stability, Lyapunov functions",
author = "Petrov, {Alexey A.} and Pilyugin, {Sergei Yu.}",
year = "2014",
language = "English",
volume = "43",
pages = "231--240",
journal = "Topological Methods in Nonlinear Analysis",
issn = "1230-3429",
publisher = "Wydawnictwo Uniwersytetu Miko{\l}aja Kopernika",
number = "1",

}

RIS

TY - JOUR

T1 - Lyapunov functions, shadowing and topological stability

AU - Petrov, Alexey A.

AU - Pilyugin, Sergei Yu.

PY - 2014

Y1 - 2014

N2 - We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.

AB - We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.

KW - dynamical systems

KW - shadowing

KW - topological stability

KW - Lyapunov functions

UR - http://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2014.013

M3 - Article

VL - 43

SP - 231

EP - 240

JO - Topological Methods in Nonlinear Analysis

JF - Topological Methods in Nonlinear Analysis

SN - 1230-3429

IS - 1

ER -

ID: 5733432