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The Resource Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings, Jan Vries

Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings, Jan Vries

Label
Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings
Title
Topological Dynamical Systems
Title remainder
An Introduction to the Dynamics of Continuous Mappings
Statement of responsibility
Jan Vries
Creator
Author
Subject
Language
eng
Member of
Action
Archivierung/Langzeitarchivierung gewährleistet
Cataloging source
GWDNB
http://library.link/vocab/creatorName
Vries, Jan
Dewey number
515.39
Index
no index present
LC call number
QA611.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
De Gruyter Studies in Mathematics
Series volume
59
http://library.link/vocab/subjectName
  • Topological dynamics
  • MATHEMATICS
  • MATHEMATICS
  • Topological dynamics
  • Topologische Dynamik
http://bibfra.me/vocab/relation/verfasser
xPWw6hRf7SQ
Label
Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings, Jan Vries
Instantiates
Publication
Note
Lizenzpflichtig
Carrier category
Online-Ressource
Carrier category code
  • cr
Carrier MARC source
rdacarrier/ger
Content category
Text
Content type code
  • txt
Content type MARC source
rdacontent/ger
Contents
  • Preface; Notation; 0 Introduction; 0.1 Definition and a (very brief) historical overview; 0.2 Continuous vs. discrete time; 0.3 The dynamical systems point of view; 0.4 Examples; 1 Basic notions; 1.1 Invariant and periodic points; 1.2 Invariant sets; 1.3 Transitivity; 1.4 Limit sets; 1.5 Topological conjugacy and factor mappings; 1.6 Equicontinuity and weak mixing; 1.7 Miscellaneous examples; 2 Dynamical systems on the real line; 2.1 Graphical iteration; 2.2 Existence of periodic orbits; 2.3 The truncated tent map; 2.4 The double of a mapping
  • 2.5 The Markov graph of a periodic orbit in an interval2.6 Transitivity of mappings of an interval; 3 Limit behaviour; 3.1 Limit sets and attraction; 3.2 Stability; 3.3 Stability and attraction for periodic orbits; 3.4 Asymptotic stability in locally compact spaces; 3.5 The structure of (asymptotically) stable sets; 4 Recurrent behaviour; 4.1 Recurrent points; 4.2 Almost periodic points and minimal orbit closures; 4.3 Non-wandering points; 4.4 Chain-recurrence; 4.5 Asymptotic stability and basic sets; 5 Shift systems; 5.1 Notation and terminology; 5.2 The shift mapping; 5.3 Shift spaces
  • 5.4 Factor maps5.5 Subshifts and graphs; 5.6 Recurrence, almost periodicity and mixing; 6 Symbolic representations; 6.1 Topological partitions; 6.2 Expansive systems; 6.3 Applications; 7 Erratic behaviour; 7.1 Stability revisited; 7.2 Chaos(1): sensitive systems; 7.3 Chaos(2): scrambled sets; 7.4 Horseshoes for interval maps; 7.5 Existence of a horseshoe; 8 Topological entropy; 8.1 The definition; 8.2 Independence of the metric; factor maps; 8.3 Maps on intervals and circles; 8.4 The definition with covers; 8.5 Miscellaneous results; 8.6 Positive entropy and horseshoes for interval maps
  • A TopologyA. 1 Elementary notions; A.2 Compactness; A.3 Continuous mappings; A.4 Convergence; A.5 Subspaces, products and quotients; A.6 Connectedness; A.7 Metric spaces; A.8 Baire category; A.9 Irreduciblemappings; A.10 Miscellaneous results; B The Cantor set; B.1 The construction; B.2 Proof of Brouwer's Theorem; B.3 Cantor spaces; C Hints to the Exercises; Literature; Index
Control code
873464768
Extent
Online-Ressource.
Form of item
online
Isbn
9783110342406
Media category
Computermedien
Media MARC source
rdamedia/ger
Media type code
  • c
Other control number
  • 9783110374599
  • urn:nbn:de:101:1-201605269500
  • 10.1515/9783110342406
http://library.link/vocab/ext/overdrive/overdriveId
574285
Specific material designation
remote
System control number
(OCoLC)873464768
Label
Topological Dynamical Systems : An Introduction to the Dynamics of Continuous Mappings, Jan Vries
Publication
Note
Lizenzpflichtig
Carrier category
Online-Ressource
Carrier category code
  • cr
Carrier MARC source
rdacarrier/ger
Content category
Text
Content type code
  • txt
Content type MARC source
rdacontent/ger
Contents
  • Preface; Notation; 0 Introduction; 0.1 Definition and a (very brief) historical overview; 0.2 Continuous vs. discrete time; 0.3 The dynamical systems point of view; 0.4 Examples; 1 Basic notions; 1.1 Invariant and periodic points; 1.2 Invariant sets; 1.3 Transitivity; 1.4 Limit sets; 1.5 Topological conjugacy and factor mappings; 1.6 Equicontinuity and weak mixing; 1.7 Miscellaneous examples; 2 Dynamical systems on the real line; 2.1 Graphical iteration; 2.2 Existence of periodic orbits; 2.3 The truncated tent map; 2.4 The double of a mapping
  • 2.5 The Markov graph of a periodic orbit in an interval2.6 Transitivity of mappings of an interval; 3 Limit behaviour; 3.1 Limit sets and attraction; 3.2 Stability; 3.3 Stability and attraction for periodic orbits; 3.4 Asymptotic stability in locally compact spaces; 3.5 The structure of (asymptotically) stable sets; 4 Recurrent behaviour; 4.1 Recurrent points; 4.2 Almost periodic points and minimal orbit closures; 4.3 Non-wandering points; 4.4 Chain-recurrence; 4.5 Asymptotic stability and basic sets; 5 Shift systems; 5.1 Notation and terminology; 5.2 The shift mapping; 5.3 Shift spaces
  • 5.4 Factor maps5.5 Subshifts and graphs; 5.6 Recurrence, almost periodicity and mixing; 6 Symbolic representations; 6.1 Topological partitions; 6.2 Expansive systems; 6.3 Applications; 7 Erratic behaviour; 7.1 Stability revisited; 7.2 Chaos(1): sensitive systems; 7.3 Chaos(2): scrambled sets; 7.4 Horseshoes for interval maps; 7.5 Existence of a horseshoe; 8 Topological entropy; 8.1 The definition; 8.2 Independence of the metric; factor maps; 8.3 Maps on intervals and circles; 8.4 The definition with covers; 8.5 Miscellaneous results; 8.6 Positive entropy and horseshoes for interval maps
  • A TopologyA. 1 Elementary notions; A.2 Compactness; A.3 Continuous mappings; A.4 Convergence; A.5 Subspaces, products and quotients; A.6 Connectedness; A.7 Metric spaces; A.8 Baire category; A.9 Irreduciblemappings; A.10 Miscellaneous results; B The Cantor set; B.1 The construction; B.2 Proof of Brouwer's Theorem; B.3 Cantor spaces; C Hints to the Exercises; Literature; Index
Control code
873464768
Extent
Online-Ressource.
Form of item
online
Isbn
9783110342406
Media category
Computermedien
Media MARC source
rdamedia/ger
Media type code
  • c
Other control number
  • 9783110374599
  • urn:nbn:de:101:1-201605269500
  • 10.1515/9783110342406
http://library.link/vocab/ext/overdrive/overdriveId
574285
Specific material designation
remote
System control number
(OCoLC)873464768

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