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Synchronization In Oscillatory Networks
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Book Synopsis Synchronization in Oscillatory Networks by : Grigory V. Osipov
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.
Book Synopsis Synchronization of Oscillatory Networks in Terms of Global Variables by : Vladimir Vlasov
Download or read book Synchronization of Oscillatory Networks in Terms of Global Variables written by Vladimir Vlasov and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synchronization of large ensembles of oscillators is an omnipresent phenomenon observed in different fields of science like physics, engineering, life sciences, etc. The most simple setup is that of globally coupled phase oscillators, where all the oscillators contribute to a global field which acts on all oscillators. This formulation of the problem was pioneered by Winfree and Kuramoto. Such a setup gives a possibility for the analysis of these systems in terms of global variables. In this work we describe nontrivial collective dynamics in oscillator populations coupled via mean fields in terms of global variables. We consider problems which cannot be directly reduced to standard Kuramoto and Winfree models. In the first part of the thesis we adopt a method introduced by Watanabe and Strogatz. The main idea is that the system of identical oscillators of particular type can be described by a low-dimensional system of global equations. This approach enables us to perform a complete analytical analysis for a special but vast set of initial conditions. Furthermore, we show how the approach can be expanded for some nonidentical systems. We apply the Watanabe-Strogatz approach to arrays of Josephson junctions and systems of identical phase oscillators with leader-type coupling. In the next parts of the thesis we consider the self-consistent mean-field theory method that can be applied to general nonidentical globally coupled systems of oscillators both with or without noise. For considered systems a regime, where the global field rotates uniformly, is the most important one. With the help of this approach such solutions of the self-consistency equation for an arbitrary distribution of frequencies and coupling parameters can be found analytically in the parametric form, both for noise-free and noisy cases. We apply this method to deterministic Kuramoto-type model with generic coupling and an ensemble of spatially distributed oscillators with leader-type coupling. Furthermore, with the proposed self-consistent approach we fully characterize rotating wave solutions of noisy Kuramoto-type model with generic coupling and an ensemble of noisy oscillators with bi-harmonic coupling. Whenever possible, a complete analysis of global dynamics is performed and compared with direct numerical simulations of large populations
Book Synopsis Synchronization by : Alexander Balanov
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.
Book Synopsis Oscillatory Neural Networks by : Margarita G. Kuzmina
Download or read book Oscillatory Neural Networks written by Margarita G. Kuzmina and published by Walter de Gruyter. This book was released on 2013 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural-like oscillatory network models allow to elucidate the possibilities of dynamical, synchronization-based types of image processing exploited by the brain. The oscillatory network capabilities, studied by means of computer modeling and qualitative analysis, are presented and discussed in this book, as well as several other problems of parallel distributed information processing.
Book Synopsis Oscillatory Neural Networks by : Margarita G. Kuzmina
Download or read book Oscillatory Neural Networks written by Margarita G. Kuzmina and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding of the human brain functioning currently represents a challenging problem. In contrast to usual serial computers and complicated hierarchically organized artificial man-made systems, decentralized, parallel and distributed information processing principles are inherent to the brain. Besides adaptation and learning, which play a crucial role in brain functioning, oscillatory neural activity, synchronization and resonance accompany the brain work. Neural-like oscillatory network models, designed by the authors for image processing, allow to elucidate the capabilities of dynamical, synchronization-based types of image processing, presumably exploited by the brain. The oscillatory network models, studied by means of computer modeling and qualitative analysis, are presented and discussed in the book. Some other problems of parallel distributed information processing are also considered, such as a recall process from network memory for large-scale recurrent associative memory neural networks, performance of oscillatory networks of associative memory, dynamical oscillatory network methods of image processing with synchronization-based performance, optical parallel information processing based on the nonlinear optical phenomenon of photon echo, and modeling random electric fields of quasi-monochromatic polarized light beams using systems of superposed stochastic oscillators. This makes the book highly interesting to researchers dealing with various aspects of parallel information processing.
Book Synopsis Synchronization in Complex Oscillator Networks and Smart Grids by :
Download or read book Synchronization in Complex Oscillator Networks and Smart Grids written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing the interaction among them. It is known that a strongly coupled and sufficiently homogeneous network synchronizes, but the exact threshold from incoherence to synchrony is unknown. Here we present a novel, concise, and closed-form condition for synchronization of the fully nonlinear, non-equilibrium, and dynamic network. Our synchronization condition can be stated elegantly in terms of the network topology and parameters, or equivalently in terms of an intuitive, linear, and static auxiliary system. Our results significantly improve upon the existing conditions advocated thus far, they are provably exact for various interesting network topologies and parameters, they are statistically correct for almost all networks, and they can be applied equally to synchronization phenomena arising in physics and biology as well as in engineered oscillator networks such as electric power networks. We illustrate the validity, the accuracy, and the practical applicability of our results in complex networks scenarios and in smart grid applications.
Book Synopsis Synchronization and Waves in Active Media by : Jan Frederik Totz
Download or read book Synchronization and Waves in Active Media written by Jan Frederik Totz and published by Springer. This book was released on 2019-01-18 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.
Book Synopsis Synchronization by : Stefano Boccaletti
Download or read book Synchronization written by Stefano Boccaletti and published by Cambridge University Press. This book was released on 2018-03-29 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.
Book Synopsis Distributed Consensus in Multi-vehicle Cooperative Control by : Wei Ren
Download or read book Distributed Consensus in Multi-vehicle Cooperative Control written by Wei Ren and published by Springer Science & Business Media. This book was released on 2007-10-27 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only neighbor-neighbor interaction among vehicles, this monograph develops distributed consensus strategies that ensure that the information states of all vehicles in a network converge to a common value. Readers learn to deal with groups of autonomous vehicles in aerial, terrestrial, and submarine environments. Plus, they get the tools needed to overcome impaired communication by using constantly updated neighbor-neighbor interchange.
Book Synopsis Chaotic Synchronization by : Erik Mosekilde
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.
Book Synopsis Cooperative Control by : Vijay Kumar
Download or read book Cooperative Control written by Vijay Kumar and published by Springer Science & Business Media. This book was released on 2004-10-20 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are there universal principles of coordinated group motion and if so what might they be? This carefully edited book presents how natural groupings such as fish schools, bird flocks, deer herds etc. coordinate themselves and move so flawlessly, often without an apparent leader or any form of centralized control. It shows how the underlying principles of cooperative control may be used for groups of mobile autonomous agents to help enable a large group of autonomous robotic vehicles in the air, on land or sea or underwater, to collectively accomplish useful tasks such as distributed, adaptive scientific data gathering, search and rescue, or reconnaissance.
Book Synopsis Synchronization in Networks of Nonlinear Circuits by : Mattia Frasca
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.
Book Synopsis Synchronization by : Arkady Pikovsky
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.
Book Synopsis Network Functions and Plasticity by : Jian Jing
Download or read book Network Functions and Plasticity written by Jian Jing and published by Academic Press. This book was released on 2017-04-11 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network Functions and Plasticity: Perspectives from Studying Neuronal Electrical Coupling in Microcircuits focuses on the specific roles of electrical coupling in tractable, well-defined circuits, highlighting current research that offers novel insights for electrical coupling‘s roles in sensory and motor functions, neural computations, decision-making, regulation of network activity, circuit development, and learning and memory. Bringing together a diverse group of international experts and their contributions using a variety of approaches to study different invertebrate and vertebrate model systems with a focus on the role of electrical coupling/gap junctions in microcircuits, this book presents a timely contribution for students and researchers alike. Provides an easy-to-read introduction on neural circuits of the model system Focuses on the specific roles of electrical coupling in tractable, well-defined circuits Includes recent discoveries and findings that are presented in the context of historical background Outlines outstanding issues and future research in the field
Book Synopsis Synchronization and Control of Chaos by : Jes£s Manuel Gonz lez-Miranda
Download or read book Synchronization and Control of Chaos written by Jes£s Manuel Gonz lez-Miranda and published by World Scientific. This book was released on 2004 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators
Book Synopsis Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems by : Susanna C Manrubia
Download or read book Emergence Of Dynamical Order: Synchronization Phenomena In Complex Systems written by Susanna C Manrubia and published by World Scientific. This book was released on 2004-04-14 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Accounting for Constraints in Delay Systems by : Giorgio Valmorbida
Download or read book Accounting for Constraints in Delay Systems written by Giorgio Valmorbida and published by Springer Nature. This book was released on 2022-04-02 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-delays are fundamental to understand phenomena in control applications as networked systems, traffic management, control of vibrations, and supply chains. The need for a performance and reliability on these systems has to overcome challenges related to the constraints in the controlled systems. These constraints can be physical, such as input magnitude saturation on actuators, or technological, such as the limited bandwidth in a networked system or the fixed structure in a control architecture, where only a few parameters can be set. This volume provides a wide-ranging collection of methods for the analysis and design of control laws for delay systems with constraints. These methods cover fundamental analytical aspects as, for instance, the stability analysis of Positive Delay systems or the achievable performance of PID controls for delay systems. The book gives valuable material for researchers and graduate students in Automatic Control.
