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General hyperbolicity conditions for set-valued mappings. / Pilyugin, S. Yu; Rieger, J.

в: Journal of Mathematical Sciences , Том 175, № 5, 06.2011, стр. 600-608.

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

Harvard

Pilyugin, SY & Rieger, J 2011, 'General hyperbolicity conditions for set-valued mappings', Journal of Mathematical Sciences , Том. 175, № 5, стр. 600-608. https://doi.org/10.1007/s10958-011-0375-x

APA

Pilyugin, S. Y., & Rieger, J. (2011). General hyperbolicity conditions for set-valued mappings. Journal of Mathematical Sciences , 175(5), 600-608. https://doi.org/10.1007/s10958-011-0375-x

Vancouver

Pilyugin SY, Rieger J. General hyperbolicity conditions for set-valued mappings. Journal of Mathematical Sciences . 2011 Июнь;175(5):600-608. https://doi.org/10.1007/s10958-011-0375-x

Author

Pilyugin, S. Yu ; Rieger, J. / General hyperbolicity conditions for set-valued mappings. в: Journal of Mathematical Sciences . 2011 ; Том 175, № 5. стр. 600-608.

BibTeX

@article{bc293cc905b14e27b9f7c441a754323a,
title = "General hyperbolicity conditions for set-valued mappings",
abstract = "A definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors is given. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings where images of points are convex polytopes. Bibliography: 13 titles.",
author = "Pilyugin, {S. Yu} and J. Rieger",
note = "Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2011",
month = jun,
doi = "10.1007/s10958-011-0375-x",
language = "English",
volume = "175",
pages = "600--608",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - General hyperbolicity conditions for set-valued mappings

AU - Pilyugin, S. Yu

AU - Rieger, J.

N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2011/6

Y1 - 2011/6

N2 - A definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors is given. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings where images of points are convex polytopes. Bibliography: 13 titles.

AB - A definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors is given. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings where images of points are convex polytopes. Bibliography: 13 titles.

UR - http://www.scopus.com/inward/record.url?scp=79958075714&partnerID=8YFLogxK

U2 - 10.1007/s10958-011-0375-x

DO - 10.1007/s10958-011-0375-x

M3 - Article

AN - SCOPUS:79958075714

VL - 175

SP - 600

EP - 608

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 74986151