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Synchronization Of Oscillators And Global Output Regulation For Rigid Body Systems
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Book Synopsis Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems by : Gerd Simon Schmidt
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.
Book Synopsis Chaotic Synchronization: Applications To Living Systems by : Yuri L Maistrenko
Download or read book Chaotic Synchronization: Applications To Living Systems written by Yuri L Maistrenko and published by World Scientific. This book was released on 2002-03-07 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.
Book Synopsis Synchronization of Oscillatory Networks in Terms of Global Variables by :
Download or read book Synchronization of Oscillatory Networks in Terms of Global Variables written by and published by . This book was released on 2015 with total page 164 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 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 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 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 Synchronization In Coupled Chaotic Circuits & Systems by : Chai Wah Wu
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.
Book Synopsis Global Output Regulation and Semiglobal Stabilization of Nonlinear Systems by : Peerayot Sanposh
Download or read book Global Output Regulation and Semiglobal Stabilization of Nonlinear Systems written by Peerayot Sanposh and published by . This book was released on 2001 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators by : Rico Berner
Download or read book Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators written by Rico Berner and published by . This book was released on 2021 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems.
Book Synopsis Synchronization of Coupled Phase Oscillators by : Chen Gong
Download or read book Synchronization of Coupled Phase Oscillators written by Chen Gong and published by . This book was released on 2019* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Oscillatory systems under weak coupling can be described by the Kuramoto model of phase oscillators. Kuramoto phase oscillators have diverse applications ranging from phenomena such as communication between neurons and collective influences of political opinions, to engineered systems such as Josephson Junctions and synchronized electric power grids. This thesis includes the author's contribution to the theoretical framework of coupled Kuramoto oscillators and to the understanding of non-trivial N-body dynamical systems via their reduced mean-field dynamics. The main content of this thesis is composed of four parts. First, a partially integrable theory of globally coupled identical Kuramoto oscillators is extended to include pure higher-mode coupling. The extended theory is then applied to a non-trivial higher-mode coupled model, which has been found to exhibit asymmetric clustering. Using the developed theory, we could predict a number of features of the asymmetric clustering with only information of the initial state provided. ...
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1993 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews by : American Mathematical Society
Download or read book Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews written by American Mathematical Society and published by . This book was released on 1988 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Science & Technology Index by :
Download or read book Applied Science & Technology Index written by and published by . This book was released on 1996 with total page 1628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rhythms of the Brain by : Gyorgy Buzsaki
Download or read book Rhythms of the Brain written by Gyorgy Buzsaki and published by Oxford University Press. This book was released on 2006-08-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides eloquent support for the idea that spontaneous neuron activity, far from being mere noise, is actually the source of our cognitive abilities. In a sequence of "cycles," György Buzsáki guides the reader from the physics of oscillations through neuronal assembly organization to complex cognitive processing and memory storage. His clear, fluid writing-accessible to any reader with some scientific knowledge-is supplemented by extensive footnotes and references that make it just as gratifying and instructive a read for the specialist. The coherent view of a single author who has been at the forefront of research in this exciting field, this volume is essential reading for anyone interested in our rapidly evolving understanding of the brain.
Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
