Synchronization Of Oscillatory Networks In Terms Of Global Variables
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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.
Synchronization Of Oscillatory Networks In Terms Of Global Variables
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Author :
language : en
Publisher:
Release Date : 2015
Synchronization Of Oscillatory Networks In Terms Of Global Variables written by 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
Protocols And Architectures For Wireless Sensor Networks
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Author : Holger Karl
language : en
Publisher: John Wiley & Sons
Release Date : 2007-10-08
Protocols And Architectures For Wireless Sensor Networks written by Holger Karl and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-08 with Technology & Engineering categories.
Learn all you need to know about wireless sensor networks! Protocols and Architectures for Wireless Sensor Networks provides a thorough description of the nuts and bolts of wireless sensor networks. The authors give an overview of the state-of-the-art, putting all the individual solutions into perspective with one and other. Numerous practical examples, case studies and illustrations demonstrate the theory, techniques and results presented. The clear chapter structure, listing learning objectives, outline and summarizing key points, help guide the reader expertly through the material. Protocols and Architectures for Wireless Sensor Networks: Covers architecture and communications protocols in detail with practical implementation examples and case studies. Provides an understanding of mutual relationships and dependencies between different protocols and architectural decisions. Offers an in-depth investigation of relevant protocol mechanisms. Shows which protocols are suitable for which tasks within a wireless sensor network and in which circumstances they perform efficiently. Features an extensive website with the bibliography, PowerPoint slides, additional exercises and worked solutions. This text provides academic researchers, graduate students in computer science, computer engineering, and electrical engineering, as well as practitioners in industry and research engineers with an understanding of the specific design challenges and solutions for wireless sensor networks. Check out www.wiley.com/go/wsn for accompanying course material! "I am deeply impressed by the book of Karl & Willig. It is by far the most complete source for wireless sensor networks...The book covers almost all topics related to sensor networks, gives an amazing number of references, and, thus, is the perfect source for students, teachers, and researchers. Throughout the book the reader will find high quality text, figures, formulas, comparisons etc. - all you need for a sound basis to start sensor network research." Prof. Jochen Schiller, Institute of Computer Science, Freie Universität Berlin
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.
Complex And Adaptive Dynamical Systems
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Author : Claudius Gros
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-24
Complex And Adaptive Dynamical Systems written by Claudius Gros 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 2010-09-24 with Science categories.
Discover a wide range of findings in quantitative complex system science that help us make sense of our complex world. Written at an introductory level, the book provides an accessible entry into this fascinating and vitally important subject.
Future Power System Elements Challenges And Solutions
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Author : Gevork B. Gharehpetian
language : en
Publisher: Elsevier
Release Date : 2024-08-14
Future Power System Elements Challenges And Solutions written by Gevork B. Gharehpetian and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-14 with Technology & Engineering categories.
Future Power System Elements, Challenges, and Solutions synthesizes essential knowledge of power system challenges into a single volume. Ideal for researchers, engineers, and students in power systems, this book supports readers from initial understanding to design and implementation.This book begins with the fundamental history, policies, and long-term needs of a sustainable energy system. A detailed analysis helps evaluate the challenges specific to distribution, generation, and transmission systems, preparing readers to understand the criteria for strong solutions. The final chapters break down potential solutions for each area in turn, offering a chance to develop your own approach. Readers can build understanding of generation technologies from distributed generation to fuel cells, transmission systems including HVDC systems and FACTS devices, and distribution solutions from microgrids to Energy Storage Solutions (ESS).Providing in-depth analysis of the biggest challenges currently facing the industry, Future Power System Elements, Challenges, and Solutions enables researchers, industry engineers and students to generate solutions for the power systems of the future. - Provides a comprehensive overview of the current technologies and essential challenges in power system generation, transmission, and distribution - Builds skills, including coding approaches, enabling readers to design solutions for the biggest challenges in the industry today - Supports learning with questions and problems to reinforce understanding at the end of each chapter
Neural Organization
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Author : Michael A. Arbib
language : en
Publisher: MIT Press
Release Date : 1998
Neural Organization written by Michael A. Arbib and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Medical categories.
In Neural Organization, Arbib, Erdi, and Szentagothai integrate structural, functional, and dynamical approaches to the interaction of brain models and neurobiologcal experiments. Both structure-based "bottom-up" and function- based "top-down" models offer coherent concepts by which to evaluate the experimental data. The goal of this book is to point out the advantages of a multidisciplinary, multistrategied approach to the brain.Part I of Neural Organization provides a detailed introduction to each of the three areas of structure, function, and dynamics. Structure refers to the anatomical aspects of the brain and the relations between different brain regions. Function refers to skills and behaviors, which are explained by means of functional schemas and biologically based neural networks. Dynamics refers to the use of a mathematical framework to analyze the temporal change of neural activities and synaptic connectivities that underlie brain development and plasticity--in terms of both detailed single-cell models and large-scale network models.In part II, the authors show how their systematic approach can be used to analyze specific parts of the nervous system--the olfactory system, hippocampus, thalamus, cerebral cortex, cerebellum, and basal ganglia--as well as to integrate data from the study of brain regions, functional models, and the dynamics of neural networks. In conclusion, they offer a plan for the use of their methods in the development of cognitive neuroscience."
Complexity Explained
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Author : Peter Erdi
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-09
Complexity Explained written by Peter Erdi 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 2007-11-09 with Technology & Engineering categories.
This book is, of course about complexity. The title of the book, as you may recognize was motivated (excuse me for using this very mild expression) by Daniel Dennett’s Consciousness Explained [130]. Dennett’s intention was to explain consciousness as the emergent product of the interaction among c- stituents having physical and neural character. The goal of this book is to explain how various types of complexity emerge due to the interaction among constituents. There are many questions to be answered, how to understand, control, decompose, manage, predict the many-faced complexity. After tea- ing thissubjectforseveralyearsIfeelthatthe time hascome toputthe whole story together. The term “complex system” is a buzzword, but we certainly don’t have a single de?nition for it. There are several predominant features of compl- ity. Complex processes may show unpredictable behavior (which we still try to predict somehow), may lead to uncontrolled explosion (such in case of epilepsy, earthquake eruptions or stock market crashes). One of the char- teristic feature of simple systems is, that there is a single cause which implies a single e?ect. For large class of complex systems it is true that e?ects are fed back to modify causes. Biological cells belong to this class. Furthermore they are open to material, energetic and information ?ow by interaction with their environment, still they are organizationallyclosed units. Another aspect of complexity is the question how collective phenomena emerge by some se- organized mechanisms.
Neuroepistemology
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Author : YURI ZAMBRANO
language : en
Publisher: Lulu.com
Release Date : 2012-10-01
Neuroepistemology written by YURI ZAMBRANO and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-01 with Science categories.
The Epistemologic study of the mind-mind problem (Mind-brain / ToM) and conscious cognition, can apply the "Theory of Neuronal Epistemology" (TNE) based on backpropagation of specific neural networks. For operating in functionalist terms and in a cognitive way, the TNE is supported by a connectionist model holding the algorithmic equation that includes probabilistic features, spatiotemporal units, computational components and fractal-geometric-tensorial variables. The main arguments of the TNE deal with the study of diverse neuronal lineages and their sophisticated specialization (Neuronalism and the "neurons knowledge"). A second argument is the "Protein Epistem" determining this specialization degree, and the third is associated with connectionism. The essential unit of the TNE formula is the Fractal Coincidental Pattern (FCP) used for evaluating the multiple-vectorial probabilities of this "small world" during the quantal release of neurotransmitters.
Computational Neuroscience
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Author : Wanpracha Chaovalitwongse
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-03
Computational Neuroscience written by Wanpracha Chaovalitwongse 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 2010-07-03 with Medical categories.
This volume includes contributions from diverse disciplines including electrical engineering, biomedical engineering, industrial engineering, and medicine, bridging a vital gap between the mathematical sciences and neuroscience research. Covering a wide range of research topics, this volume demonstrates how various methods from data mining, signal processing, optimization and cutting-edge medical techniques can be used to tackle the most challenging problems in modern neuroscience.