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Periodic shadowing and Omega-stability. / Osipov, A.V.; Pilyugin, S.Yu.; Tikhomirov, S.B.

In: Regular and Chaotic Dynamics, Vol. 15, No. 2-3, 2010, p. 404-417.

Research output: Contribution to journal › Article › peer-review

Harvard

Osipov, AV, Pilyugin, SY & Tikhomirov, SB 2010, 'Periodic shadowing and Omega-stability', Regular and Chaotic Dynamics, vol. 15, no. 2-3, pp. 404-417. https://doi.org/10.1134/S1560354710020255

APA

Osipov, A. V., Pilyugin, S. Y., & Tikhomirov, S. B. (2010). Periodic shadowing and Omega-stability. Regular and Chaotic Dynamics, 15(2-3), 404-417. https://doi.org/10.1134/S1560354710020255

Vancouver

Osipov AV, Pilyugin SY, Tikhomirov SB. Periodic shadowing and Omega-stability. Regular and Chaotic Dynamics. 2010;15(2-3):404-417. https://doi.org/10.1134/S1560354710020255

Author

Osipov, A.V. ; Pilyugin, S.Yu. ; Tikhomirov, S.B. / Periodic shadowing and Omega-stability. In: Regular and Chaotic Dynamics. 2010 ; Vol. 15, No. 2-3. pp. 404-417.

BibTeX

@article{b89dd89e84da4f6e8cd6bf1ba936bc9b,
title = "Periodic shadowing and Omega-stability",
abstract = "We show that the following three properties of a diffeomorphism f of a smooth closed manifold are equivalent: (i) f belongs to the C (1)-interior of the set of diffeomorphisms having the periodic shadowing property; (ii) f has the Lipschitz periodic shadowing property; (iii) f is Omega-stable.",
author = "A.V. Osipov and S.Yu. Pilyugin and S.B. Tikhomirov",
year = "2010",
doi = "10.1134/S1560354710020255",
language = "English",
volume = "15",
pages = "404--417",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2-3",

}

RIS

TY - JOUR

T1 - Periodic shadowing and Omega-stability

AU - Osipov, A.V.

AU - Pilyugin, S.Yu.

AU - Tikhomirov, S.B.

PY - 2010

Y1 - 2010

N2 - We show that the following three properties of a diffeomorphism f of a smooth closed manifold are equivalent: (i) f belongs to the C (1)-interior of the set of diffeomorphisms having the periodic shadowing property; (ii) f has the Lipschitz periodic shadowing property; (iii) f is Omega-stable.

AB - We show that the following three properties of a diffeomorphism f of a smooth closed manifold are equivalent: (i) f belongs to the C (1)-interior of the set of diffeomorphisms having the periodic shadowing property; (ii) f has the Lipschitz periodic shadowing property; (iii) f is Omega-stable.

U2 - 10.1134/S1560354710020255

DO - 10.1134/S1560354710020255

M3 - Article

VL - 15

SP - 404

EP - 417

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 2-3

ER -

ID: 5217812