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Main definitions and basic results. / Pilyugin, Sergei Yu; Sakai, Kazuhiro.

в: Lecture Notes in Mathematics, Том 2193, 2017, стр. 1-35.

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Harvard

Pilyugin, SY & Sakai, K 2017, 'Main definitions and basic results', Lecture Notes in Mathematics, Том. 2193, стр. 1-35. https://doi.org/10.1007/978-3-319-65184-2_1

APA

Pilyugin, S. Y., & Sakai, K. (2017). Main definitions and basic results. Lecture Notes in Mathematics, 2193, 1-35. https://doi.org/10.1007/978-3-319-65184-2_1

Vancouver

Pilyugin SY, Sakai K. Main definitions and basic results. Lecture Notes in Mathematics. 2017;2193:1-35. https://doi.org/10.1007/978-3-319-65184-2_1

Author

Pilyugin, Sergei Yu ; Sakai, Kazuhiro. / Main definitions and basic results. в: Lecture Notes in Mathematics. 2017 ; Том 2193. стр. 1-35.

BibTeX

@article{29dc3c644dda44339fcd5e49ec65ffe6,
title = "Main definitions and basic results",
abstract = "In this preliminary chapter, we define pseudotrajectories and various shadowing properties for dynamical systems with discrete and continuous time (Sects. 1.1 and 1.2), study the notion of chain transitivity (Sect. 1.1), describe hyperbolicity, Ω-stability, and structural stability (Sect. 1.3), and prove a lemma on finite Lipschitz shadowing in a neighborhood of a hyperbolic set (Sect. 1.4).",
author = "Pilyugin, {Sergei Yu} and Kazuhiro Sakai",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2017",
doi = "10.1007/978-3-319-65184-2_1",
language = "English",
volume = "2193",
pages = "1--35",
journal = "Lecture Notes in Mathematics",
issn = "0075-8434",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Main definitions and basic results

AU - Pilyugin, Sergei Yu

AU - Sakai, Kazuhiro

N1 - Publisher Copyright: © Springer International Publishing AG 2017. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2017

Y1 - 2017

N2 - In this preliminary chapter, we define pseudotrajectories and various shadowing properties for dynamical systems with discrete and continuous time (Sects. 1.1 and 1.2), study the notion of chain transitivity (Sect. 1.1), describe hyperbolicity, Ω-stability, and structural stability (Sect. 1.3), and prove a lemma on finite Lipschitz shadowing in a neighborhood of a hyperbolic set (Sect. 1.4).

AB - In this preliminary chapter, we define pseudotrajectories and various shadowing properties for dynamical systems with discrete and continuous time (Sects. 1.1 and 1.2), study the notion of chain transitivity (Sect. 1.1), describe hyperbolicity, Ω-stability, and structural stability (Sect. 1.3), and prove a lemma on finite Lipschitz shadowing in a neighborhood of a hyperbolic set (Sect. 1.4).

UR - http://www.scopus.com/inward/record.url?scp=85029082991&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-65184-2_1

DO - 10.1007/978-3-319-65184-2_1

M3 - Article

AN - SCOPUS:85029082991

VL - 2193

SP - 1

EP - 35

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

SN - 0075-8434

ER -

ID: 74985869