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Isospectral Transformations - A New Approach to Analyzing Multidimensional Systems and Networks (Hardcover, 2014 ed.)
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Isospectral Transformations - A New Approach to Analyzing Multidimensional Systems and Networks (Hardcover, 2014 ed.)
Series: Springer Monographs in Mathematics
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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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