Standard

C0 transversality and shadowing properties. / Pilyugin, S. Yu; Sakai, K.

в: Proceedings of the Steklov Institute of Mathematics, Том 256, № 1, 04.2007, стр. 290-305.

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Harvard

Pilyugin, SY & Sakai, K 2007, 'C0 transversality and shadowing properties', Proceedings of the Steklov Institute of Mathematics, Том. 256, № 1, стр. 290-305. https://doi.org/10.1134/S0081543807010178

APA

Pilyugin, S. Y., & Sakai, K. (2007). C0 transversality and shadowing properties. Proceedings of the Steklov Institute of Mathematics, 256(1), 290-305. https://doi.org/10.1134/S0081543807010178

Vancouver

Pilyugin SY, Sakai K. C0 transversality and shadowing properties. Proceedings of the Steklov Institute of Mathematics. 2007 Апр.;256(1):290-305. https://doi.org/10.1134/S0081543807010178

Author

Pilyugin, S. Yu ; Sakai, K. / C0 transversality and shadowing properties. в: Proceedings of the Steklov Institute of Mathematics. 2007 ; Том 256, № 1. стр. 290-305.

BibTeX

@article{0f1d49268bdc46d399df9bcdacf647fe,
title = "C0 transversality and shadowing properties",
abstract = "Let f be an Axiom A diffeomorphism of a closed smooth two-dimensional manifold. It is shown that the following statements are equivalent: (a) f satisfies the C 0 transversality condition, (b) f has the shadowing property, and (c) f has the inverse shadowing property with respect to a class of continuous methods.",
author = "Pilyugin, {S. Yu} and K. Sakai",
note = "Funding Information: The first author was supported by the Russian Foundation for Basic Research, project no. 05-01-01079. The second author was supported by JSPS bilateral program for Scientific Exchanges (Japan–Russia) 2005.",
year = "2007",
month = apr,
doi = "10.1134/S0081543807010178",
language = "English",
volume = "256",
pages = "290--305",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - C0 transversality and shadowing properties

AU - Pilyugin, S. Yu

AU - Sakai, K.

N1 - Funding Information: The first author was supported by the Russian Foundation for Basic Research, project no. 05-01-01079. The second author was supported by JSPS bilateral program for Scientific Exchanges (Japan–Russia) 2005.

PY - 2007/4

Y1 - 2007/4

N2 - Let f be an Axiom A diffeomorphism of a closed smooth two-dimensional manifold. It is shown that the following statements are equivalent: (a) f satisfies the C 0 transversality condition, (b) f has the shadowing property, and (c) f has the inverse shadowing property with respect to a class of continuous methods.

AB - Let f be an Axiom A diffeomorphism of a closed smooth two-dimensional manifold. It is shown that the following statements are equivalent: (a) f satisfies the C 0 transversality condition, (b) f has the shadowing property, and (c) f has the inverse shadowing property with respect to a class of continuous methods.

UR - http://www.scopus.com/inward/record.url?scp=34248333471&partnerID=8YFLogxK

U2 - 10.1134/S0081543807010178

DO - 10.1134/S0081543807010178

M3 - Article

AN - SCOPUS:34248333471

VL - 256

SP - 290

EP - 305

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -

ID: 92248078