Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time
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 stabiliza...
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2016
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oai:scholar.dlu.edu.vn:DLU123456789-597692023-11-11T06:50:43Z Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time Martínez-Guerra, Rafael Pérez-Pinacho, Claudia A Gómez-Cortés, Gian Carlo Control Dynamical Systems Vibration Nonlinear Dynamics Mathematical models Chaotic behavior in systems 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. 2016-03-08T09:41:00Z 2016-03-08T09:41:00Z 2015 Book 978-3-319-15284-4 978-3-319-15283-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59769 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
| language |
English |
| topic |
Control Dynamical Systems Vibration Nonlinear Dynamics Mathematical models Chaotic behavior in systems |
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Control Dynamical Systems Vibration Nonlinear Dynamics Mathematical models Chaotic behavior in systems Martínez-Guerra, Rafael Pérez-Pinacho, Claudia A Gómez-Cortés, Gian Carlo Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| description |
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. |
| format |
Book |
| author |
Martínez-Guerra, Rafael Pérez-Pinacho, Claudia A Gómez-Cortés, Gian Carlo |
| author_facet |
Martínez-Guerra, Rafael Pérez-Pinacho, Claudia A Gómez-Cortés, Gian Carlo |
| author_sort |
Martínez-Guerra, Rafael |
| title |
Synchronization of Integral and Fractional Order Chaotic Systems:
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| title_short |
Synchronization of Integral and Fractional Order Chaotic Systems:
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| title_full |
Synchronization of Integral and Fractional Order Chaotic Systems:
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| title_fullStr |
Synchronization of Integral and Fractional Order Chaotic Systems:
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| title_full_unstemmed |
Synchronization of Integral and Fractional Order Chaotic Systems:
A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time |
| title_sort |
synchronization of integral and fractional order chaotic systems:
a differential algebraic and differential geometric approach with selected applications in real-time |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59769 |
| _version_ |
1782536929494958080 |