Synchronization of Integral and Fractional Order Chaotic Systems

A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Technology, Engineering, Mechanical, Mathematics
Cover of the book Synchronization of Integral and Fractional Order Chaotic Systems by Gian Carlo Gómez-Cortés, Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Springer International Publishing
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Author: Gian Carlo Gómez-Cortés, Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho ISBN: 9783319152844
Publisher: Springer International Publishing Publication: March 17, 2015
Imprint: Springer Language: English
Author: Gian Carlo Gómez-Cortés, Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho
ISBN: 9783319152844
Publisher: Springer International Publishing
Publication: March 17, 2015
Imprint: Springer
Language: English

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.

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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.

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