Isospectral Transformations : A New Approach to Analyzing Multidimensional Systems and Networks / by Leonid Bunimovich, Benjamin Webb

By:

Bunimovich, Leonid [aut]

Contributor(s):

Webb, Benjamin [oth]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Monographs in Mathematics | SpringerLink Bücher | Springer eBook Collection Mathematics and StatisticsPublisher: New York, NY : Springer, 2014Description: Online-Ressource (XVI, 175 p. 51 illus., 29 illus. in color, online resource)ISBN:

9781493913756

Subject(s):

Additional physical formats: 9781493913749 | Erscheint auch als: Isospectral transformations. Druck-Ausgabe New York, NY : Springer, 2014. XVI, 175 S.DDC classification:

510
515.39
515.48

MSC: MSC: *37-02 | 37N35 | 34C99 | 93C05 | 05C82 | 37D45 | 93B60RVK: RVK: SK 950 | SK 960LOC classification:

QA313

DOI: DOI: 10.1007/978-1-4939-1375-6Online resources:

Summary: 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 networksPPN: PPN: 165929505XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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