书目名称 | Isospectral Transformations | 副标题 | A New Approach to An | 编辑 | Leonid Bunimovich,Benjamin Webb | 视频video | | 概述 | 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 ne | 丛书名称 | Springer Monographs in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Book 2014 | 关键词 | Estimation of the Spectra of Matrices; Isospectral Networks Expansions and Applications; Spectrally Eq | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4939-1375-6 | isbn_softcover | 978-1-4939-4600-6 | isbn_ebook | 978-1-4939-1375-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 | issn_series | 1439-7382 | copyright | Springer Science+Business Media New York 2014 |
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