Synchronization In Oscillatory Networks
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Synchronization In Oscillatory Networks
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Author : Grigory V. Osipov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-10
Synchronization In Oscillatory Networks written by Grigory V. Osipov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-10 with Science categories.
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.
Oscillatory Neural Networks
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Author : Margarita G. Kuzmina
language : en
Publisher: Walter de Gruyter
Release Date : 2013-11-27
Oscillatory Neural Networks written by Margarita G. Kuzmina and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
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.
Synchronization Of Oscillatory Networks In Terms Of Global Variables
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Author : Vladimir Vlasov
language : en
Publisher:
Release Date : 2015
Synchronization Of Oscillatory Networks In Terms Of Global Variables written by Vladimir Vlasov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
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
Synchronization
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Author : Arkady Pikovsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Synchronization written by Arkady Pikovsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Synchronization is a universal phenomenon that is encountered in nature, science and engineering. The book presents a broad view of modern theoretical and experimental approaches to synchronization, especially in complex and chaotic systems, and its applications in life sciences and engineering. Contributors include applied mathematicians, physicists, biologists, and specialists in communications and control theory. The study of synchronization is presented in its many aspects: basic mathematical theory, numerical simulation of complex systems, applications of methods in theoretical physics, experimental implementation, and applications in engineering and life sciences.
Emerging Trends In Intelligent And Interactive Systems And Applications
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Author : Madjid Tavana
language : en
Publisher: Springer Nature
Release Date : 2020-12-17
Emerging Trends In Intelligent And Interactive Systems And Applications written by Madjid Tavana and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Technology & Engineering categories.
This book reports on the proceeding of the 5th International Conference on Intelligent, Interactive Systems and Applications (IISA 2020), held in Shanghai, China, on September 25–27, 2020. The IISA proceedings, with the latest scientific findings, and methods for solving intriguing problems, are a reference for state-of-the-art works on intelligent and interactive systems. This book covers nine interesting and current topics on different systems’ orientations, including Analytical Systems, Database Management Systems, Electronics Systems, Energy Systems, Intelligent Systems, Network Systems, Optimization Systems, and Pattern Recognition Systems and Applications. The chapters included in this book cover significant recent developments in the field, both in terms of theoretical foundations and their practical application. An important characteristic of the works included here is the novelty of the solution approaches to the most interesting applications of intelligent and interactive systems.
Synchronization In Science And Technology
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Author : Ilʹi︠a︡ Izrailevich Blekhman
language : en
Publisher: American Society of Mechanical Engineers
Release Date : 1988
Synchronization In Science And Technology written by Ilʹi︠a︡ Izrailevich Blekhman and has been published by American Society of Mechanical Engineers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This book describes examples and applications of synchronization, and gives the problem a working mathematical formulation. It presents the basic principles and results, as well as some of the open problems. It is intended for a wide range of specialists who may encounter nonlinear vibrations problems: mathematicians, engineers, physicists, chemists, and biologists, as well as students in these fields. Topics covered include: General Formulation of the Problems and Characteristics of the Basic Mathematical Apparatus for the Synchronization Theory of Dynamic Systems, Synchronization of Technological and Natural Objects, and Mathematical Apparatus and Principal Results of the General Theory of Synchronization of Weakly Coupled Dynamic Objects.
Distributed Consensus In Multi Vehicle Cooperative Control
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Author : Wei Ren
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-27
Distributed Consensus In Multi Vehicle Cooperative Control written by Wei Ren and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-27 with Technology & Engineering categories.
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.
Network Functions And Plasticity
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Author : Jian Jing
language : en
Publisher: Academic Press
Release Date : 2017-04-11
Network Functions And Plasticity written by Jian Jing and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Medical categories.
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
Synchronization
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Author : Arkady Pikovsky
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18
Synchronization written by Arkady Pikovsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Mathematics categories.
The book describes synchronization phenomena using both classical results and more recent developments.
From Structure To Function In Neuronal Networks Effects Of Adaptation Time Delays And Noise
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Author : Serhiy Yanchuk
language : en
Publisher: Frontiers Media SA
Release Date : 2022-05-06
From Structure To Function In Neuronal Networks Effects Of Adaptation Time Delays And Noise written by Serhiy Yanchuk and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-06 with Science categories.