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Author : Irene Margaret.* Waller
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (221 download)
Download or read book Synchronization Effects in Coupled Nonlinear Oscillators written by Irene Margaret.* Waller and published by . This book was released on 1984 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Muthusamy Lakshmanan
Publisher : World Scientific
ISBN 13 : 9789810221430
Total Pages : 346 pages
Book Rating : 4.2/5 (214 download)
Download or read book Chaos in Nonlinear Oscillators written by Muthusamy Lakshmanan and published by World Scientific. This book was released on 1996 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Author : Alexander Balanov
Publisher : Springer Science & Business Media
ISBN 13 : 3540721282
Total Pages : 426 pages
Book Rating : 4.5/5 (47 download)
Download or read book Synchronization written by Alexander Balanov and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kyandoghere Kyamakya
Publisher : Springer Science & Business Media
ISBN 13 : 3642042260
Total Pages : 401 pages
Book Rating : 4.6/5 (42 download)
Download or read book Recent Advances in Nonlinear Dynamics and Synchronization written by Kyandoghere Kyamakya and published by Springer Science & Business Media. This book was released on 2009-09-28 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selected contributions of this book shed light on a series of interesting aspects related to nonlinear dynamics and synchronization with the aim of demonstrating some of their interesting applications in a series of selected disciplines. This book contains thirteenth chapters which are organized around five main parts. The first part (containing five chapters) does focus on theoretical aspects and recent trends of nonlinear dynamics and synchronization. The second part (two chapters) presents some modeling and simulation issues through concrete application examples. The third part (two chapters) is focused on the application of nonlinear dynamics and synchronization in transportation. The fourth part (two chapters) presents some applications of synchronization in security-related system concepts. The fifth part (two chapters) considers further applications areas, i.e. pattern recognition and communication engineering.
Author : Arkady Pikovsky
Publisher : Cambridge University Press
ISBN 13 : 0521592852
Total Pages : 435 pages
Book Rating : 4.5/5 (215 download)
Download or read book Synchronization written by Arkady Pikovsky and published by Cambridge University Press. This book was released on 2001-10-18 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes synchronization phenomena using both classical results and more recent developments.
Author : Mattia Frasca
Publisher : Springer
ISBN 13 : 3319759574
Total Pages : 115 pages
Book Rating : 4.3/5 (197 download)
Download or read book Synchronization in Networks of Nonlinear Circuits written by Mattia Frasca and published by Springer. This book was released on 2018-03-10 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation. The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.
Author :
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (227 download)
Download or read book Dynamics and Synchronization of Nonlinear Oscillators with Time Delays: A Study with Fiber Lasers written by and published by . This book was released on 2007 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of time delay on nonlinear oscillators is an important problem in the study of dynamical systems. Erbium-doped fiber ring lasers have an internal time scale set by the length of the laser's electromagnetic cavity. Long cavities allow thousands of modes to experience gain making it very difficult to model the lasers. We examine the effect of adding external time delays through feedback and coupling. In the first experiment an external time delay is added to a laser by adding a feedback loop to the cavity. These delay times are varied over four orders of magnitude by changing the length of fiber in the feedback loop. The laser intensity dynamics are examined using time series, power spectra, time delay embeddings, and spatiotemporal representations. We apply Karhunen-Lo'eve (KL) decomposition on the spatiotemporal representations and use the Shannon entropy as calculated from the KL eigenvalue spectra as a measure of the complexity of the dynamics. For long delays we find that the complexity increases as expected, but also that the fluctuation size increases. In the second experiment two lasers are mutually coupled together with a coupling time delay that is varied over four orders of magnitude. The analysis is repeated and we find the surprising result that the dynamical complexity decreases for short coupling delays as compared to the uncoupled lasers. Measurements of the optical spectra indicate a narrowing of the spectra indicating that the simplification in dynamics could be due to the reduction in the number of electromagnetic modes experiencing gain. The fluctuation size increases for all delay times and is largest when the internal and external time delays match. Lag-synchrony is also observed for the mutually coupled lasers. Recent modeling using Ikeda ring oscillators showed that stable isochronal synchrony could be achieved if a third drive.
Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 1461450977
Total Pages : 245 pages
Book Rating : 4.4/5 (614 download)
Download or read book Dynamical System Synchronization written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Niketh Shyam Nair
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (111 download)
Download or read book Theoretical Studies on Control and Synchronization of Coupled Nonlinear Systems written by Niketh Shyam Nair and published by . This book was released on 2018 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many natural and engineered systems—including but not limited to laser arrays, neuronal networks, and superconducting circuits—can be modeled as a set of coupled nonlinear oscillators. The generic study of collective behavior in coupled nonlinear oscillators has led to fundamental advances in a wide variety of fields. In this dissertation, we apply the study of coupled nonlinear oscillator systems to two engineering problems. We study the conditions necessary to passively phase lock large arrays of semiconductor diodes in a scalable design. We approach this problem from two angles. First, we develop a novel coupled mode theory model for the electric field in a compound resonator made up of an array of waveguides of non-uniform lengths coupled using an external cavity. Second, we use and extend Master Stability Function (MSF) theory to find the stability of approximately synchronous states of arrays of weakly coupled semiconductor lasers, modeled using the Lang-Kobayashi equations. We show that if the external cavity can be represented using a decayed non-local coupling network, it may be possible to synchronize arrays of hundreds or thousands of lasers. We also present a novel derivation of the Lang-Kobayashi equations from the first-principles coupled mode theory model that we have developed. Finally, we show how our extension of MSF theory can be applied to more general coupled oscillator networks and even to a model for associative memory in neural networks. We present new designs and design principles for ternary cryogenic memory cells based on arrays of inductively coupled Josephson junctions. We show how reading, writing and resetting are implemented using single flux quantum (SFQ) current pulse inputs and outputs from the circuit. We further show how both destructive readout and nondestructive readout can be implemented. The memory states are based on non-local trapping of flux quanta between the junctions in the array. The states correspond to the stable fixed-point solutions of the equations of motion for the circuit.
Author : M Lakshmanan
Publisher : World Scientific
ISBN 13 : 9814500917
Total Pages : 339 pages
Book Rating : 4.8/5 (145 download)
Download or read book Chaos In Nonlinear Oscillators: Controlling And Synchronization written by M Lakshmanan and published by World Scientific. This book was released on 1996-06-28 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Author : Erik Mosekilde
Publisher : World Scientific
ISBN 13 : 9789810247898
Total Pages : 444 pages
Book Rating : 4.2/5 (478 download)
Download or read book Chaotic Synchronization written by Erik Mosekilde and published by World Scientific. This book was released on 2002 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the fascinating new concept of chaotic sychronization.
Author : Chai Wah Wu
Publisher : World Scientific
ISBN 13 : 9814490415
Total Pages : 187 pages
Book Rating : 4.8/5 (144 download)
Download or read book Synchronization In Coupled Chaotic Circuits & Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2002-01-30 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications. It shows how one can use stability results in nonlinear control to derive synchronization criteria for coupled chaotic circuits and systems. It also discusses the use of Lyapunov exponents in deriving synchronization criteria. Both the case of two coupled systems and the case of arbitrarily coupled arrays of systems are considered. The book examines how synchronization properties in arrays of coupled systems are dependent on graph-theoretical properties of the underlying coupling topology. Finally, it studies some applications of synchronized chaotic circuits and systems, including spread spectrum and secure communications, coupled map lattices and graph coloring.
Author : Gerd Simon Schmidt
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832537902
Total Pages : 150 pages
Book Rating : 4.8/5 (325 download)
Download or read book Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems written by Gerd Simon Schmidt and published by Logos Verlag Berlin GmbH. This book was released on 2014 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Grigory V. Osipov
Publisher : Springer Science & Business Media
ISBN 13 : 3540712690
Total Pages : 373 pages
Book Rating : 4.5/5 (47 download)
Download or read book Synchronization in Oscillatory Networks written by Grigory V. Osipov and published by Springer Science & Business Media. This book was released on 2007-08-10 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Mark Dykman
Publisher : Oxford University Press
ISBN 13 : 019969138X
Total Pages : 446 pages
Book Rating : 4.1/5 (996 download)
Download or read book Fluctuating Nonlinear Oscillators written by Mark Dykman and published by Oxford University Press. This book was released on 2012-07-26 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unifying insight into a broad range of phenomena displayed by vibrational systems of current interest. The chapters complement each other to give an account of the major fundamental results and applications in quantum information, condensed matter physics, and engineering.
Author : Deepak Kumar Agrawal
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)
Download or read book Nonlinear Effects and Synchronization in MEMs Oscillators written by Deepak Kumar Agrawal and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Chandra
Publisher : Elsevier
ISBN 13 : 0080871917
Total Pages : 133 pages
Book Rating : 4.0/5 (88 download)
Download or read book Coupled Nonlinear Oscillators written by J. Chandra and published by Elsevier. This book was released on 1983-01-01 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coupled Nonlinear Oscillators
