The Resource Dynamical Systems : Examples of Complex Behaviour, by Jürgen Jost, (electronic resource)

Dynamical Systems : Examples of Complex Behaviour, by Jürgen Jost, (electronic resource)

Label
Dynamical Systems : Examples of Complex Behaviour
Title
Dynamical Systems
Title remainder
Examples of Complex Behaviour
Statement of responsibility
by Jürgen Jost
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Our aim is to introduce, explain, and discuss the fundamental problems, ideas, concepts, results, and methods of the theory of dynamical systems and to show how they can be used in speci?c examples. We do not intend to give a comprehensive overview of the present state of research in the theory of dynamical systems, nor a detailed historical account of its development. We try to explain the important results, often neglecting technical re?nements 1 and, usually, we do not provide proofs. One of the basic questions in studying dynamical systems, i.e. systems that evolve in time, is the construction of invariants that allow us to classify qualitative types of dynamical evolution, to distinguish between qualitatively di?erent dynamics, and to studytransitions between di?erent types. Itis also important to ?nd out when a certain dynamic behavior is stable under small perturbations, as well as to understand the various scenarios of instability. Finally, an essential aspect of a dynamic evolution is the transformation of some given initial state into some ?nal or asymptotic state as time proceeds. Thetemporalevolutionofadynamicalsystemmaybecontinuousordiscrete, butitturnsoutthatmanyoftheconceptstobeintroducedareusefulineither case
Member of
Is Subseries of
http://library.link/vocab/creatorName
Jost, Jürgen
Dewey number
515/.39
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
2tb4EtM7od0
Language note
English
LC call number
QC1-75
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Physics
  • Mathematics
  • Differentiable dynamical systems
  • Operations research
  • Economic theory
  • Mathematical optimization
  • Physics, general
  • Mathematics, general
  • Dynamical Systems and Ergodic Theory
  • Operations Research/Decision Theory
  • Economic Theory/Quantitative Economics/Mathematical Methods
  • Calculus of Variations and Optimal Control; Optimization
Label
Dynamical Systems : Examples of Complex Behaviour, by Jürgen Jost, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [181]-183) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Stability of dynamical systems, bifurcations, and generic properties -- Discrete invariants of dynamical systems -- Entropy and topological aspects of dynamical systems -- Entropy and metric aspects of dynamical systems -- Entropy and measure theoretic aspects of dynamical systems -- Smooth dynamical systems -- Cellular automata and Boolean networks as examples of discrete dynamical systems
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (198 p.)
Form of item
online
Isbn
9783540288893
Media category
computer
Media type code
c
Other control number
10.1007/3-540-28889-9
Specific material designation
remote
System control number
  • (CKB)1000000000231514
  • (EBL)3062587
  • (SSID)ssj0000317305
  • (PQKBManifestationID)11211355
  • (PQKBTitleCode)TC0000317305
  • (PQKBWorkID)10287846
  • (PQKB)11191305
  • (DE-He213)978-3-540-28889-3
  • (MiAaPQ)EBC3062587
  • (EXLCZ)991000000000231514
Label
Dynamical Systems : Examples of Complex Behaviour, by Jürgen Jost, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [181]-183) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Stability of dynamical systems, bifurcations, and generic properties -- Discrete invariants of dynamical systems -- Entropy and topological aspects of dynamical systems -- Entropy and metric aspects of dynamical systems -- Entropy and measure theoretic aspects of dynamical systems -- Smooth dynamical systems -- Cellular automata and Boolean networks as examples of discrete dynamical systems
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (198 p.)
Form of item
online
Isbn
9783540288893
Media category
computer
Media type code
c
Other control number
10.1007/3-540-28889-9
Specific material designation
remote
System control number
  • (CKB)1000000000231514
  • (EBL)3062587
  • (SSID)ssj0000317305
  • (PQKBManifestationID)11211355
  • (PQKBTitleCode)TC0000317305
  • (PQKBWorkID)10287846
  • (PQKB)11191305
  • (DE-He213)978-3-540-28889-3
  • (MiAaPQ)EBC3062587
  • (EXLCZ)991000000000231514

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