Isospectral Transformations A New Approach to Analyzing Multidimensional Systems and Networks /

• Main Authors: Bunimovich, Leonid (Author), Webb, Benjamin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Physics.; Dynamical Systems and Ergodic Theory.; Mathematical Methods in Physics.; Complex Systems.

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...

Table of 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.