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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Book 2015 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

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1860-0832 plications and examples.Includes supplementary material: 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 asympt

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Generalized Synchronization for a Class of Nondifferentially Flat and Liouvillian Chaotic Systems,ents in a differential field. Finally, we construct a dynamical control obtained through a chain of integrators to reach the GS. This is illustrated by means of numerical simulations to show the effectiveness of the methodology proposed.

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Secure Communications and Synchronization via a Sliding-Mode Observer,munication scheme is robust with respect to some disturbances and uncertainties. Three chaotic systems, the Duffing equation, Van der Pol oscillator, andChua’s circuit, are provided to illustrate the effectiveness of the chaotic communication.

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https://doi.org/10.1007/978-3-319-15284-4Algebraic and Geometric Methods in Control Theory; Fractional Derivatives and Fractional Order System