Synchronization of Discontinuous Oscillators - 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 Discontinuous Oscillators write by Thomas Kirk Caughey. This book was released on 1952. Synchronization of Discontinuous Oscillators available in PDF, EPUB and Kindle.
A Smooth and Discontinuous Oscillator
A Smooth and Discontinuous Oscillator - 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 A Smooth and Discontinuous Oscillator write by Qingjie Cao. This book was released on 2016-09-27. A Smooth and Discontinuous Oscillator available in PDF, EPUB and Kindle. This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics. The discovery of the smooth and discontinuous (SD) oscillator and the SD attractors discussed in this book represents a further milestone in nonlinear dynamics, following on the discovery of the Ueda attractor in 1961 and Lorenz attractor in 1963. This particular system bears significant similarities to the Duffing oscillator, exhibiting the standard dynamics governed by the hyperbolic structure associated with the stationary state of the double well. However, there is a substantial departure in nonlinear dynamics from standard dynamics at the discontinuous stage. The constructed irrational elliptic function series, which offers a way to directly approach the nature dynamics analytically for both smooth and discontinuous behaviours including the unperturbed periodic motions and the perturbed chaotic attractors without any truncation, is of particular interest. Readers will also gain a deeper understanding of the actual nonlinear phenomena by means of a simple mechanical model: the theory, methodology, and the applications in various interlinked disciplines of sciences and engineering. This book offers a valuable resource for researchers, professionals and postgraduate students in mechanical engineering, non-linear dynamics, and related areas, such as nonlinear modelling in various fields of mathematics, physics and the engineering sciences.
Synchronization of Oscillators and Global Output Regulation for Rigid Body Systems
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.
Discontinuous Dynamics and System Synchronization
Discontinuous Dynamics and System Synchronization - 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 Discontinuous Dynamics and System Synchronization write by Fuhong Min. This book was released on . Discontinuous Dynamics and System Synchronization available in PDF, EPUB and Kindle.
Dynamical System Synchronization
Dynamical System Synchronization - 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 Dynamical System Synchronization write by Albert C. J. Luo. This book was released on 2013-03-22. Dynamical System Synchronization available in PDF, EPUB and Kindle. Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.
