Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems write by Gerd Simon Schmidt. This book was released on 2014. Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems available in PDF, EPUB and Kindle. 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.
Chaotic Synchronization: Applications To Living Systems
Chaotic Synchronization: Applications To Living Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaotic Synchronization: Applications To Living Systems write by Yuri L Maistrenko. This book was released on 2002-03-07. Chaotic Synchronization: Applications To Living Systems available in PDF, EPUB and Kindle. 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.
Synchronization of Oscillatory Networks in Terms of Global Variables
Synchronization of Oscillatory Networks in Terms of Global Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization of Oscillatory Networks in Terms of Global Variables write by . This book was released on 2015. Synchronization of Oscillatory Networks in Terms of Global Variables available in PDF, EPUB and Kindle. 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 in Oscillatory Networks
Synchronization in Oscillatory Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization in Oscillatory Networks write by Grigory V. Osipov. This book was released on 2007-08-10. Synchronization in Oscillatory Networks available in PDF, EPUB and Kindle. 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 and Control of Chaos
Synchronization and Control of Chaos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization and Control of Chaos write by Jes£s Manuel Gonz lez-Miranda. This book was released on 2004. Synchronization and Control of Chaos available in PDF, EPUB and Kindle. - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators
