The Resource Discretization and Implicit Mapping Dynamics, by Albert C. J. Luo, (electronic resource)

Discretization and Implicit Mapping Dynamics, by Albert C. J. Luo, (electronic resource)

Label
Discretization and Implicit Mapping Dynamics
Title
Discretization and Implicit Mapping Dynamics
Statement of responsibility
by Albert C. J. Luo
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering
Member of
http://library.link/vocab/creatorName
Luo, Albert C. J
Image bit depth
0
LC call number
QC174.7-175.36
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Nonlinear Physical Science,
http://library.link/vocab/subjectName
  • Physics
  • Functional equations
  • Vibration
  • Physics
  • Nonlinear Dynamics
  • Difference and Functional Equations
  • Vibration, Dynamical Systems, Control
Label
Discretization and Implicit Mapping Dynamics, by Albert C. J. Luo, (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
Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator
Dimensions
unknown
Edition
1st ed. 2015.
Extent
X, 310 p. 46 illus., 26 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783662472750
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-47275-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-47275-0
Label
Discretization and Implicit Mapping Dynamics, by Albert C. J. Luo, (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
Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator
Dimensions
unknown
Edition
1st ed. 2015.
Extent
X, 310 p. 46 illus., 26 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783662472750
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-47275-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-47275-0

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