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The Resource Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche

Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche

Label
Geometric theory of discrete nonautonomous dynamical systems
Title
Geometric theory of discrete nonautonomous dynamical systems
Statement of responsibility
Christian Pötzsche
Creator
Subject
Language
eng
Summary
"Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations."--Publisher's website
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorName
Pötzsche, Christian
Dewey number
515.39
Illustrations
illustrations
Index
index present
LC call number
QA431
LC item number
.P68 2010
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
2002
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Difference equations
  • Fiber bundles (Mathematics)
  • Nichtautonomes System
  • Dynamisches System
  • Diskretes System
  • Differenzengleichung
  • Qualitative Theorie
Label
Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 373-391) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Nonautonomous Dynamical Systems -- Nonautonomous Difference Equations -- Linear Difference Equations -- Invariant Fiber Bundles -- Linearization
Control code
646114235
Dimensions
24 cm
Extent
xxiv, 399 pages
Isbn
9783642142574
Lccn
2010933515
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)646114235
Label
Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche
Publication
Bibliography note
Includes bibliographical references (pages 373-391) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Nonautonomous Dynamical Systems -- Nonautonomous Difference Equations -- Linear Difference Equations -- Invariant Fiber Bundles -- Linearization
Control code
646114235
Dimensions
24 cm
Extent
xxiv, 399 pages
Isbn
9783642142574
Lccn
2010933515
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)646114235

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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