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Author Bunimovich, Leonid,
Title Isospectral transformations : a new approach to analyzing multidimensional systems and networks / Leonid Bunimovich, Benjamin Webb.
Imprint New York : Springer, [2014]
2014

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Author Bunimovich, Leonid,
Series Springer monographs in mathematics
Springer monographs in mathematics. http://id.loc.gov/authorities/names/n97101238
Subject Complex matrices.
Matrices.
Eigenvalues.
Spectral theory (Mathematics)
Differentiable dynamical systems.
Neural networks (Computer science)
Alt Name Webb, Benjamin (Benjamin Z.),
Description 1 online resource.
polychrome rdacc http://rdaregistry.info/termList/RDAColourContent/1003
Bibliography Note Includes bibliographical references and index.
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.
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.
Note Print version record.
ISBN 9781493913756 (electronic bk.)
1493913751 (electronic bk.)
9781493913749
1493913743
ISBN/ISSN 10.1007/978-1-4939-1375-6
OCLC # 890469491
Additional Format Print version: Bunimovich, Leonid. Isospectral transformations 1493913743 (OCoLC)880965528


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