The Resource Dynamical Systems, Graphs, and Algorithms, by George Osipenko, (electronic resource)

Dynamical Systems, Graphs, and Algorithms, by George Osipenko, (electronic resource)

Label
Dynamical Systems, Graphs, and Algorithms
Title
Dynamical Systems, Graphs, and Algorithms
Statement of responsibility
by George Osipenko
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
The modern theory and practice of dynamical systems requires the study of structures that fall outside the scope of traditional subjects of mathematical analysis. An important tool to investigate such complicated phenomena as chaos and strange attractors is the method of symbolic dynamics. This book describes a family of the algorithms to study global structure of systems. By a finite covering of the phase space we construct a directed graph (symbolic image) with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used to localize the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, Lyapunov exponents and the Morse spectrum, to verify the hyperbolicity and the structural stability. Considerable information can be obtained thus, and more techniques may be discovered in future research
Member of
http://library.link/vocab/creatorName
Osipenko, George
Image bit depth
0
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1889
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis
  • Differential Equations
  • Numerical analysis
  • Mathematics
  • Global Analysis and Analysis on Manifolds
  • Numerical Analysis
  • Ordinary Differential Equations
Label
Dynamical Systems, Graphs, and Algorithms, by George Osipenko, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Symbolic Image -- Periodic Trajectories -- Newton's Method -- Invariant Sets -- Chain Recurrent Set -- Attractors -- Filtration -- Structural Graph -- Entropy -- Projective Space and Lyapunov Exponents -- Morse Spectrum -- Hyperbolicity and Structural Stability -- Controllability -- Invariant Manifolds -- Ikeda Mapping Dynamics -- A Dynamical System of Mathematical Biology
Dimensions
unknown
Extent
XII, 288 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540355953
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-35593-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35595-3
Label
Dynamical Systems, Graphs, and Algorithms, by George Osipenko, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Symbolic Image -- Periodic Trajectories -- Newton's Method -- Invariant Sets -- Chain Recurrent Set -- Attractors -- Filtration -- Structural Graph -- Entropy -- Projective Space and Lyapunov Exponents -- Morse Spectrum -- Hyperbolicity and Structural Stability -- Controllability -- Invariant Manifolds -- Ikeda Mapping Dynamics -- A Dynamical System of Mathematical Biology
Dimensions
unknown
Extent
XII, 288 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540355953
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-35593-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35595-3

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