The Resource Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche
Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche
Resource Information
The item Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 infinitedimensional spaces by virtue of 2parameter 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, socalled fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations."Publisher's website
 Language
 eng
 Extent
 xxiv, 399 pages
 Contents

 Nonautonomous Dynamical Systems
 Nonautonomous Difference Equations
 Linear Difference Equations
 Invariant Fiber Bundles
 Linearization
 Isbn
 9783642142574
 Label
 Geometric theory of discrete nonautonomous dynamical systems
 Title
 Geometric theory of discrete nonautonomous dynamical systems
 Statement of responsibility
 Christian Pötzsche
 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 infinitedimensional spaces by virtue of 2parameter 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, socalled fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations."Publisher's website
 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
 Bibliography note
 Includes bibliographical references (pages 373391) 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
 Bibliography note
 Includes bibliographical references (pages 373391) 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Geometrictheoryofdiscretenonautonomous/kIQjVuwSY9U/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Geometrictheoryofdiscretenonautonomous/kIQjVuwSY9U/">Geometric theory of discrete nonautonomous dynamical systems, Christian Pötzsche</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>