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The Resource Bifurcation and Stability in Nonlinear Dynamical Systems, by Albert C. J. Luo, (electronic resource)

Bifurcation and Stability in Nonlinear Dynamical Systems, by Albert C. J. Luo, (electronic resource)

Label
Bifurcation and Stability in Nonlinear Dynamical Systems
Title
Bifurcation and Stability in Nonlinear Dynamical Systems
Statement of responsibility
by Albert C. J. Luo
Creator
Subject
Language
eng
Summary
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control. Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums; Discusses dynamics of infinite-equilibrium systems; Demonstrates higher-order singularity.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Luo, Albert C. J
Image bit depth
0
Nature of contents
dictionaries
Series statement
  • Nonlinear Systems and Complexity,
  • Springer eBooks.
Series volume
28
http://library.link/vocab/subjectName
  • Differential equations
  • Vibration
  • Dynamical systems
  • Dynamics
  • Computational complexity
  • Statistical physics
  • Partial differential equations
Label
Bifurcation and Stability in Nonlinear Dynamical Systems, by Albert C. J. Luo, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-22910-8
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
Stability of equilibriums -- Bifurcation of equilibriums -- Low-dimensional dynamical system -- Equilibrium and higher-singularity -- Low-degree polynomial systems -- (2m)th-degree polynomial systems -- (2m+1)th-degree polynomial systems -- Infinite-equilibrium systems
Control code
978-3-030-22910-8
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9783030229108
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1139151768
Label
Bifurcation and Stability in Nonlinear Dynamical Systems, by Albert C. J. Luo, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-22910-8
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
Stability of equilibriums -- Bifurcation of equilibriums -- Low-dimensional dynamical system -- Equilibrium and higher-singularity -- Low-degree polynomial systems -- (2m)th-degree polynomial systems -- (2m+1)th-degree polynomial systems -- Infinite-equilibrium systems
Control code
978-3-030-22910-8
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9783030229108
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1139151768

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