Dynamical System Synchronization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamical System Synchronization write by Albert C. J. Luo. This book was released on 2013-03-22. Dynamical System Synchronization available in PDF, EPUB and Kindle. Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.
Synchronization in Complex Networks of Nonlinear Dynamical Systems
Synchronization in Complex Networks of Nonlinear Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization in Complex Networks of Nonlinear Dynamical Systems write by Chai Wah Wu. This book was released on 2007. Synchronization in Complex Networks of Nonlinear Dynamical Systems available in PDF, EPUB and Kindle. This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.
Emergence of Dynamical Order
Emergence of Dynamical Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Emergence of Dynamical Order write by Susanna C. Manrubia. This book was released on 2004. Emergence of Dynamical Order available in PDF, EPUB and Kindle. Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.
Synchronization of Integral and Fractional Order Chaotic Systems
Synchronization of Integral and Fractional Order Chaotic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization of Integral and Fractional Order Chaotic Systems write by Rafael Martínez-Guerra. This book was released on 2015-03-17. Synchronization of Integral and Fractional Order Chaotic Systems available in PDF, EPUB and Kindle. 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.
Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems
Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems write by Susanna C Manrubia. This book was released on 2004-04-14. Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems available in PDF, EPUB and Kindle. Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses.
