Synchronization of Integral and Fractional Order Chaotic Systems
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time
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Beschreibung
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 interest.
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 interest.
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: sn.pub/extras
Autor*in
Rafael Martínez-Guerra
Themen in »Synchronization of Integral and Fractional Order Chaotic Systems«
Algebraic and Geometric Methods in Control Theory Fractional Derivatives and Fractional Order Systems General Synchronization in Dynamical Feedback Systems Reduced-order Observers in Nonlinear Systems Secure Communication and Chaos Theory Synchronization, anti- & Multisynchronization in Chaotic Sys. complexity
Stimmen zu »Synchronization of Integral and Fractional Order Chaotic Systems«
“This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication using chaotic systems. … The monograph will be useful to engineers and physicists, graduate students and researchers interested in mathematical modelling, the theory of fractional ordinary differential equations, numerical simulations, synchronization of chaotic systems and secure communications and to everybody interested in mastering the new mathematical methods finding more and more applications.” (Paulius Miškinis, Mathematical Reviews, April, 2017)
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