Dynamics of Nonlinear Time-Delay Systems

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations ha...

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Detalles Bibliográficos
Auteurs principaux: Lakshmanan, Muthusamy, Senthilkumar, D.V., 1976- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg 2011.
Cham : Springer Nature
Series:Springer Series in Synergetics
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Dynamics of Nonlinear Time-Delay Systems, Texte imprimé, 9783642266492
• Dynamics of Nonlinear Time-Delay Systems, Texte imprimé, 9783642149399
• Dynamics of nonlinear time-dealy systems, M . Lakshmanan, D.V. Senthilkumar, Berlin, Springer-Verlag, 2010, 1 vol. (313 p.), Springer complexity, 978-3-642-14937-5
Descripción
Résumé:Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.
descrición da copia:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642149382
ISSN:2198-333X
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