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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/1145589238 Title: 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] ISBN/ISSN: 9781470453084 1470453088 OCLC:1145589238

  
  

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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 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.  Read more...
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Subjects	Attractors (Mathematics) Perturbation (Mathematics) Ordinary differential equations -- Stability theory [See also 37C75, 93Dxx] -- Attractors [See also 37C70, 37D45]. View all subjects
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