Attractors under autonomous and non-autonomous perturbations /

Attractors under autonomous and non-autonomous perturbations /

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Bibliographic Details
Author / Creator:	Bortolan, Matheus C. (Matheus Cheque), 1985- author.
Imprint:	Providence, Rhode Island : American Mathematical Society, [2020]
Description:	ix, 246 pages : illustrations ; 27 cm.
Language:	English
Series:	Mathematical surveys and monographs, 0076-5376 ; volume 246 Mathematical surveys and monographs ; no. 246.
Subject:	Attractors (Mathematics) Perturbation (Mathematics) Attractors (Mathematics) Perturbation (Mathematics)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12405642

Hidden Bibliographic Details
Other authors / contributors:	Carvalho, Alexandre Nolasco de, author. Langa, José A., author.
ISBN:	9781470453084 1470453088 9781470456849
Notes:	Includes bibliographical references (pages 231-241) and index.
Summary:	This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the attractor. This is done in both the autonomous (time independent) and non-autonomous (time dependent) framework in four distinct levels of approximation: the upper semicontinuity, lower semicontinuity, topological structural stability and geometrical structural stability.

Eckhart

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Call Number:	QA614.813.B67 2020
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