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Titlebook: Synchronization of Integral and Fractional Order Chaotic Systems; A Differential Algeb Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gi B

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書目名稱Synchronization of Integral and Fractional Order Chaotic Systems
副標題A Differential Algeb
編輯Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gi
視頻videohttp://file.papertrans.cn/885/884118/884118.mp4
概述Merges and generalizes various approaches to synchronization in chaotic systems.Written by leading researchers in the field.Includes many applications and examples.Includes supplementary material:
叢書名稱Understanding Complex Systems
圖書封面Titlebook: Synchronization of Integral and Fractional Order Chaotic Systems; A Differential Algeb Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gi B
描述This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical i
出版日期Book 2015
關鍵詞Algebraic and Geometric Methods in Control Theory; Fractional Derivatives and Fractional Order System
版次1
doihttps://doi.org/10.1007/978-3-319-15284-4
isbn_softcover978-3-319-38647-8
isbn_ebook978-3-319-15284-4Series ISSN 1860-0832 Series E-ISSN 1860-0840
issn_series 1860-0832
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Experimental Synchronization by Means of Observers, in a master–slave configuration. Thus, the chaos synchronization problem can be posed as an observer design procedure, where the coupling signal is viewed as measurable output, and the slave system is regarded as an observer. A polynomial observer is used for synchronizing the Colpitts oscillator e
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Synchronization of an Uncertain Rikitake System with Parametric Estimation,e system that has to follow asymptotically the unknown Rikitake system, referred to as the master system. The gains of the slave system are adjusted continually according to a convenient adaptation control law until the measurable output errors converge to zero. The convergence analysis is carried o
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Synchronization and Antisynchronization of Chaotic Systems: A Differential and Algebraic Approach,linear systems. An observer is proposed for systems satisfying an algebraic observability property. This observer can be used as a slave system whose states are synchronized with the master (chaotic) system. This approach has the advantages of being independent of the chaotic nature of the master sy
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Generalized Synchronization via the Differential Primitive Element,nother. This mapping can be obtained if there exists a differential primitive element that generates a differential transcendence basis. We introduce a new definition of GS in nonlinear systems using the concept of differential primitive element. In this chapter, we investigate the GS problem when w
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