Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks (Springer Monographs in Mathematics) - Tapa blanda

Bunimovich, Leonid; Webb, Benjamin

 
9781493946006: Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks (Springer Monographs in Mathematics)
Tapa blanda
ISBN 10: 1493946005 ISBN 13: 9781493946006
Editorial: Springer, 2016

Sinopsis

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.

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Acerca del autor

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.

De la contraportada

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.

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Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
1493946005
ISBN 13 
9781493946006
Encuadernación
Tapa blanda
Número de páginas
192
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9781493913749: Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks (Springer Monographs in Mathematics)

Edición Destacada

ISBN 10:  1493913743 ISBN 13:  9781493913749
Editorial: Springer, 2014
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