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Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach with Selected Applicati

Synchronization of Integral and Fractional Order Chaotic Systems

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"Synchronization of Integral and Fractional Order Chaotic Systems" by Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

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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Best For: Researchers and graduate students in physics and engineering focusing on chaotic systems and synchronization.
Focus: Synchronization methods for integral and fractional order chaotic systems using differential algebraic and geometric techniques.
Covers: Concepts of synchronization, secure communication in chaotic systems, and dynamical feedback stabilization using analytic, algebraic, geometrical, and asymptotical methods.
Why It Matters: It reveals structural properties of chaotic systems that are essential for understanding and controlling synchronization in real-time applications.

"Synchronization of Integral and Fractional Order Chaotic Systems" by Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

Topic: Dynamics

Author: Rafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

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.

AuthorRafael Martínez-Guerra, Claudia A. Pérez-Pinacho, Gian Carlo Gómez-Cortés
PublisherSpringer
Published2016-10-09
ISBN-139783319386478
BindingPaperback
LanguageEnglish
SubjectsScience
TopicDynamics
SeriesUnderstanding Complex Systems

Format: Paperback

Language: English

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