Isospectral Transformations

Name: Isospectral Transformations
SKU: 22480040
Price: 152.00 NZD
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A New Approach to Analyzing Multidimensional Systems and Networks

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Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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 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.

Author Biography:

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 Systems, Neuroscience, Operations Research. Benjamin Webb is currently a visiting Assistant Professor in the Department of Mathematics at Brigham Young University. He has earned his PhD in Mathematics at the Georgia Institute of Technology.

Release date NZ

September 3rd, 2014

Author

Audience

Professional & Vocational

Illustrations

29 Illustrations, color; 22 Illustrations, black and white; XVI, 175 p. 51 illus., 29 illus. in color.

Pages

175

Series

Springer Monographs in Mathematics

Dimensions

155x235x13

ISBN-13

9781493913749

Product ID

22480040

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