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Attractors under autonomous and non-autonomous perturbations

Author: Matheus C Bortolan; Alexandre Nolasco de Carvalho; José A Langa
Publisher: Providence, Rhode Island : American Mathematical Society, [2020]
Series: Mathematical surveys and monographs, no. 246.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
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Document Type: Book
All Authors / Contributors: Matheus C Bortolan; Alexandre Nolasco de Carvalho; José A Langa
ISBN: 9781470453084 1470453088
OCLC Number: 1145589238
Description: ix, 246 pages : illustrations ; 27 cm.
Contents: Semigroups and global attractors --
Upper and lower semicontinuity --
Topological structural stability of attractors --
Neighborhood of a critical element --
Morse-Smale semigroups --
Non-autonomous dynamical systems and their attractors --
Upper and lower semicontinuity --
Topological structural stability --
Neighborhood of a global hyperbolic solution --
Non-autonomous Morse-Smale dynamical systems.
Series Title: Mathematical surveys and monographs, no. 246.
Responsibility: Matheus C. Bortolan, Alexandre N. Carvalho, José A. Langa.

Abstract:

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  Read more...

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