Overview
- Dynamical networks is a hot topic
- The first book to highlight the isospectral matrix reduction of networks and put into context of traditional networks literature
- Static and dynamical properties of networks are covered
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
“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 the stability of dynamical networks.” (Juan Gonzalo Barajas-Ramírez, Mathematical Reviews, June, 2015)
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Isospectral Transformations
Book Subtitle: A New Approach to Analyzing Multidimensional Systems and Networks
Authors: Leonid Bunimovich, Benjamin Webb
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-4939-1375-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-1374-9Published: 03 September 2014
Softcover ISBN: 978-1-4939-4600-6Published: 17 September 2016
eBook ISBN: 978-1-4939-1375-6Published: 03 September 2014
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVI, 175
Number of Illustrations: 22 b/w illustrations, 29 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Mathematical Methods in Physics, Complex Systems