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Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks
Bunimovich, Leonid; Webb, Benjamin
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Description for Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks
hardcover. Isospectral Transformations Series: Springer Monographs in Mathematics. Num Pages: 191 pages, 22 black & white illustrations, 29 colour illustrations, biography. BIC Classification: PBW; PBWR; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 456.
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. 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 ... Read more
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. 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 ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
Springer United States
Number of pages
191
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
175
Place of Publication
New York, United States
ISBN
9781493913749
SKU
V9781493913749
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Bunimovich, Leonid; Webb, Benjamin
Leonid Bunimovich is a Professor of Mathematics and Director of the ABC Math Program at Georgia Institute of Technology. Professor Bunimovich's fields of interest include: Dynamical Systems, Ergodic Theory, Statistical Mechanics, Space-Time Chaos, Intermittency and Coherent Structures in Extended Systems, Geophysical Hydrodynamics, Mathematical Biology, Quantum Chaos, Waves in Nonhomogeneous Media, Lattice Gases, Cellular Automata, Percolation, Limit Theorems for Chaotic Dynamical ... Read more
Reviews for Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks
“An interesting fact is that a matrix with functional entries can have the same spectrum as a larger matrix with real entries. This is the foundation of the monograph under review. … The monograph is of significance for those specializing in the study of linear algebra applications to dynamical systems, and in particular for graduate students and researchers interested in ... Read more