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The Resource Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks, by Leonid Bunimovich, Benjamin Webb, (electronic resource)

Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks, by Leonid Bunimovich, Benjamin Webb, (electronic resource)

Label
Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks
Title
Isospectral Transformations
Title remainder
A New Approach to Analyzing Multidimensional Systems and Networks
Statement of responsibility
by Leonid Bunimovich, Benjamin Webb
Creator
Contributor
Author
Subject
Language
eng
Summary
This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. This approach can be applied to any network irrespective of the network's structure or whether the network is directed, undirected, weighted, unweighted, etc. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate how, together, these methods can be applied to gain new results in a number of areas. This includes the stability of time-delayed and non time-delayed dynamical networks, eigenvalue estimation, pseudospectra analysis, and the estimation of survival probabilities in open dynamical systems. The theory of isospectral transformations, developed in this text, can be readily applied in any area that involves the analysis of multidimensional systems and is especially applicable to the analysis of network dynamics. This book will be of interest to mathematicians, physicists, biologists, engineers and to anyone who has an interest in the dynamics of networks
Member of
http://library.link/vocab/creatorName
Bunimovich, Leonid
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Webb, Benjamin.
  • SpringerLink (Online service)
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • System theory
  • Physics
Label
Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks, by Leonid Bunimovich, Benjamin Webb, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1375-6
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
Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks -- Isospectral Matrix Reductions -- Dynamical Networks and Isospectral Graph Reductions -- Stability of Dynamical Networks -- Improved Eigenvalue Estimates -- Pseudospectra and Inverse Pseudospectra -- Improved Estimates of Survival Probabilities
Control code
978-1-4939-1375-6
Dimensions
unknown
Extent
XVI, 175 p. 51 illus., 29 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493913756
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-1375-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086448295
Label
Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks, by Leonid Bunimovich, Benjamin Webb, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1375-6
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
Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks -- Isospectral Matrix Reductions -- Dynamical Networks and Isospectral Graph Reductions -- Stability of Dynamical Networks -- Improved Eigenvalue Estimates -- Pseudospectra and Inverse Pseudospectra -- Improved Estimates of Survival Probabilities
Control code
978-1-4939-1375-6
Dimensions
unknown
Extent
XVI, 175 p. 51 illus., 29 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493913756
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-1375-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086448295

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