A Universal Concept in Nonlinear Sciences

Author: Arkady Pikovsky,Michael Rosenblum,Jürgen Kurths

Publisher: Cambridge University Press

ISBN: 9780521533522

Category: Mathematics

Page: 411

View: 3212

First recognized in 1665 by Christiaan Huygens, synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers, firing neurons and applauding audiences exhibit a tendency to operate in synchrony. These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics. The first half of this book describes synchronization without formulae, and is based on qualitative intuitive ideas. The main effects are illustrated with experimental examples and figures, and the historical development is outlined. The remainder of the book presents the main effects of synchronization in a rigorous and systematic manner, describing classical results on synchronization of periodic oscillators, and recent developments in chaotic systems, large ensembles, and oscillatory media. This comprehensive book will be of interest to a broad audience, from graduate students to specialist researchers in physics, applied mathematics, engineering and natural sciences.


From Simple to Complex

Author: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva

Publisher: Springer Science & Business Media

ISBN: 3540721282

Category: Science

Page: 426

View: 3555

This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.


From Coupled Systems to Complex Networks

Author: Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann

Publisher: Cambridge University Press

ISBN: 1107056268

Category: Mathematics

Page: 270

View: 5149

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Synchronization in Oscillatory Networks

Author: Grigory V. Osipov,Jürgen Kurths,Changsong Zhou

Publisher: Springer Science & Business Media

ISBN: 3540712690

Category: Science

Page: 370

View: 6541

This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few. The book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.

Digital Clocks for Synchronization and Communications

Author: Masami Kihara,Sadayasu Ono,Pekka Eskelinen

Publisher: Artech House

ISBN: 9781580537650

Category: Technology & Engineering

Page: 269

View: 7999

A practical handbook on the digital clock technologies used in building today's telecommunications networks. It covers critical details on the PLL (phase-locked loop) technique for clock synchronization and generation, and the DDS (direct digital synthesizer) technique for clock generation.

Secure Localization and Time Synchronization for Wireless Sensor and Ad Hoc Networks

Author: Radha Poovendran,Cliff Wang,Sumit Roy

Publisher: Springer Science & Business Media

ISBN: 9780387462769

Category: Technology & Engineering

Page: 394

View: 6146

This book presents the latest research results in the area of secure localization for both wireless mobile ad hoc networks and wireless sensor networks. It is suitable as a text for computer science courses in wireless systems and security. It includes implementation studies with mica2 mote sensors. Due to the open spectrum nature of wireless communication, it is subject to attacks and intrusions. Hence the wireless network synchronization needs to be both robust and secure. Furthermore, issues such as energy constraints and mobility make the localization process even more challenging. The book will also interest developers of secure wireless systems.

Synchronization Techniques for Chaotic Communication Systems

Author: Branislav Jovic

Publisher: Springer Science & Business Media

ISBN: 3642218490

Category: Technology & Engineering

Page: 348

View: 7429

Since the early 1990s, when synchronization of chaotic communication systems became a popular research subject, a vast number of scientific papers have been published. However, most of today’s books on chaotic communication systems deal exclusively with the systems where perfect synchronization is assumed, an assumption which separates theoretical from practical, real world, systems. This book is the first of its kind dealing exclusively with the synchronization techniques for chaotic communication systems. It describes a number of novel robust synchronization techniques, which there is a lack of, for single and multi-user chaotic communication systems published and highly cited in world’s leading journals in the area. In particular, it presents a solution to the problem of robust chaotic synchronization by presenting the first fully synchronized, highly secure, chaos based DS-CDMA system. The book fills a gap in the existing literature where a number of books exist that deal with chaos and chaotic communications but not with synchronization of chaotic communication systems. It also acts as a bridge between communication system theory and chaotic synchronization by carefully explaining the two concepts and demonstrating how they link into chaotic communication systems. The book also presents a detailed literature review on the topic of synchronization of chaotic communication systems. Furthermore, it presents the literature review on the general topic of chaotic synchronization and how those ideas led to the application of chaotic signals to secure chaotic communication systems. It therefore, in addition to presenting the state of the art systems, also presents a detailed history of chaotic communication systems. In summary, the book stands out in the field of synchronization techniques for chaotic communication systems.

Installation and Maintenance of SDH/SONET, ATM, XDSL, and Synchronization Networks

Author: José Manuel Caballero

Publisher: Artech House

ISBN: 9781580535250

Category: Business & Economics

Page: 437

View: 4101

Service level agreements guaranteeing quality of service have helped your organization to keep old customers and win new ones over. Although it may be easy for the sales department to ink a service level agreement, you have to handle the constant problems of phase fluctuations, jitter, and wander, that threaten the quality of service spelled out in these service level agreements.

Synchronization Techniques for Digital Receivers

Author: Umberto Mengali

Publisher: Springer Science & Business Media

ISBN: 9780306457258

Category: Technology & Engineering

Page: 520

View: 6893

Synchronization is a critical function in digital communications; its failures may have catastrophic effects on the transmission system performance. Furthermore, synchronization circuits comprehend such a large part of the receiver hardware that their implementation has a substantial impact on the overall costs. For these reasons design engineers are particularly concerned with the development of new and more efficient synchronization structures. Unfortunately, the advent of digital VLSI technology has radically affected modem design rules, to a point that most analog techniques employed so far have become totally obsolete. Although digital synchronization methods are well established by now in the literature, they only appear in the form of technical papers, often concentrating on specific performance or implementation issues. As a consequence they are hardly useful to give a unified view of an otherwise seemingly heterogeneous field. It is widely recognized that a fundamental understanding of digital synchronization can only be reached by providing the designer with a solid theoretical framework, or else he will not know where to adjust his methods when he attempts to apply them to new situations. The task of the present book is just to develop such a framework.

Synchronization and Control of Chaos

An Introduction for Scientists and Engineers

Author: J. M. Gonz lez-Miranda

Publisher: Imperial College Press

ISBN: 9781860945229

Category: Mathematics

Page: 224

View: 6326

Annotation. - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators.

Chaotic Synchronization

Applications to Living Systems

Author: Erik Mosekilde,Yuri Maistrenko,Dmitry Postnov

Publisher: World Scientific

ISBN: 9789810247898

Category: Science

Page: 428

View: 633

A guide to the fascinating new concept of chaotic sychronization.

Robust Synchronization of Chaotic Systems via Feedback

Author: Ricardo Femat,Gualberto Solis-Perales

Publisher: Springer Science & Business Media

ISBN: 3540693068

Category: Technology & Engineering

Page: 202

View: 6912

This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phen- ena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our ama- ment and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can the reader find in this book?, reader can find our steps toward understanding of c- otic behavior and the possibility of suppressing and synchronizing it. We firstly show the chaos suppression form experimental domain to potential implementation in high tech system as a levitation system based on High Temperature Superconductors (HTS). This chapter is used as departing point towards a more complicated problem the chaotic synchronization. Then, reader travels by the synchronization of the chaotic behavior world throughout distinct feedback approaches.

Cellular Neural Networks, Multi-scroll Chaos and Synchronization

Author: M?tak E. Yal‡in,Johan A. K. Suykens,Joos Vandewalle

Publisher: World Scientific

ISBN: 9789812567741

Category: Chaotic behavior in systems

Page: 231

View: 4888

For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original ChuaOCOs circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for LurOCOe representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, H8 synchronization, time-delayed systems and impulsive synchronization."

Synchronization in Complex Networks of Nonlinear Dynamical Systems

Author: Chai Wah Wu

Publisher: World Scientific

ISBN: 9812709746

Category: Mathematics

Page: 168

View: 9255

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.

Dynamical System Synchronization

Author: Albert C. J. Luo

Publisher: Springer Science & Business Media

ISBN: 1461450977

Category: Technology & Engineering

Page: 239

View: 3214

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 and Control of Multiagent Systems

Author: Dong Sun

Publisher: CRC Press

ISBN: 9781439820483

Category: Computers

Page: 200

View: 2204

Multiple intelligent agent systems are commonly used in research requiring complex behavior. Synchronization control provides an advantage in solving the problem of multi-agent coordination. This book focuses on the use of synchronization control to coordinate the group behavior of multiple agents. The author includes numerous real-world application examples from robotics, automation, and advanced manufacturing. Giving a detailed look at cross-coupling based synchronization control, the text covers such topics as adaptive synchronization control, synchronous tracking control of parallel manipulators, and minimization of contouring errors of CNC machine tools with synchronization controls.

Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems

Author: Gerd Simon Schmidt

Publisher: Logos Verlag Berlin GmbH

ISBN: 3832537902


Page: 146

View: 3039

The investigation of nonlinear dynamis in physical and engineering systems from the point of view of systems and control theory is important to develop better engineering systems. Synchronization of oscillators and output regulation for rigid body systems are two problem classes which are inherently nonlinear and are of great importance in applications. This thesis contains novel results for both problem classes. In the case of sychronization of oscillators we consider two different system classes and give sufficient or necessary conditions for synchronization. In the case of the output regulation problems for rigid body systems we provide a new two-step control design procedure, a detailed analysis for the error dynamics and an application scenario for satellite control. A highlight of the thesis is a new separation principle which is the underlying principle of the two-step design procedure for the output regulation problem.

Synchronization in Wireless Sensor Networks

Parameter Estimation, Performance Benchmarks, and Protocols

Author: Erchin Serpedin,Qasim M. Chaudhari

Publisher: Cambridge University Press

ISBN: 0521764424

Category: Computers

Page: 232

View: 9556

Presents the key clock synchronization protocols, emphasizing design and optimization techniques for building efficient estimation schemes and performance benchmarks.