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Inverse shadowing by continuous methods. / Pilyugin, Sergei Yu.

In: Discrete and Continuous Dynamical Systems, Vol. 8, No. 1, 01.2002, p. 29-38.

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

Harvard

Pilyugin, SY 2002, 'Inverse shadowing by continuous methods', Discrete and Continuous Dynamical Systems, vol. 8, no. 1, pp. 29-38.

APA

Pilyugin, S. Y. (2002). Inverse shadowing by continuous methods. Discrete and Continuous Dynamical Systems, 8(1), 29-38.

Vancouver

Pilyugin SY. Inverse shadowing by continuous methods. Discrete and Continuous Dynamical Systems. 2002 Jan;8(1):29-38.

Author

Pilyugin, Sergei Yu. / Inverse shadowing by continuous methods. In: Discrete and Continuous Dynamical Systems. 2002 ; Vol. 8, No. 1. pp. 29-38.

BibTeX

@article{80ac4b45e5244e54b181327dcaa8c3e7,
title = "Inverse shadowing by continuous methods",
abstract = "We show that a structurally stable diffeomorphism has the inverse shadowing property with respect to classes of continuous methods. We also show that any diffeomorphism belonging to the C1-interior of the set of diffeomorphisms with the above-mentioned property is structurally stable.",
keywords = "Dynamical systems, Inverse shadowing, Pseudotrajectories, Structural stability",
author = "Pilyugin, {Sergei Yu}",
year = "2002",
month = jan,
language = "English",
volume = "8",
pages = "29--38",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "1",

}

RIS

TY - JOUR

T1 - Inverse shadowing by continuous methods

AU - Pilyugin, Sergei Yu

PY - 2002/1

Y1 - 2002/1

N2 - We show that a structurally stable diffeomorphism has the inverse shadowing property with respect to classes of continuous methods. We also show that any diffeomorphism belonging to the C1-interior of the set of diffeomorphisms with the above-mentioned property is structurally stable.

AB - We show that a structurally stable diffeomorphism has the inverse shadowing property with respect to classes of continuous methods. We also show that any diffeomorphism belonging to the C1-interior of the set of diffeomorphisms with the above-mentioned property is structurally stable.

KW - Dynamical systems

KW - Inverse shadowing

KW - Pseudotrajectories

KW - Structural stability

UR - http://www.scopus.com/inward/record.url?scp=0036002237&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036002237

VL - 8

SP - 29

EP - 38

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 1

ER -

ID: 92248748