Qualitative Theory of Dynamical 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 Qualitative Theory of Dynamical Systems write by Anthony Michel. This book was released on 2001-01-04. Qualitative Theory of Dynamical Systems available in PDF, EPUB and Kindle. "Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."
Methods of Qualitative Theory in Nonlinear Dynamics
Methods of Qualitative Theory in Nonlinear Dynamics - 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 Methods of Qualitative Theory in Nonlinear Dynamics write by Leonid P. Shilnikov. This book was released on 1998. Methods of Qualitative Theory in Nonlinear Dynamics available in PDF, EPUB and Kindle. Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics
Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics - 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 Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics write by O.I. Bogoyavlensky. This book was released on 2011-10-12. Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics available in PDF, EPUB and Kindle. Homogeneous cosmological models, self-similar motion of self-gravitating gas and motion of gas with homogeneous deformation have important applica tions in the theory of evolution of the universe. In particular they can be applied to the theory of explosions of stars, formation of galaxies, pulsation of alternating stars etc. The equations of general relativity and Newtonian gas dynamics in the cases mentioned above are reduced to systems of a finite (but quite large) number of ordinary differential equations. In the last two decades these multi-dimensional dynamical systems were and still are being analyzed by means of traditional analytic and numerical methods. Important dynamical modes of some solutions were thus established. These include oscillatory modes of the space-time metric near a cosmological singularity, self-similar motion of self-gravitating gas with a shock wave and an expanding cavity inside (as in an explosion of a star), collapse of an ellipsoid of self-gravitating dust into a disc and others. However the multi dimensional dynamical systems in question are so complex, that a complete analysis of all dynamical modes of the solutions by means of well-known tra ditional analytic methods does not seem feasible. Therefore the development of effective methods of qualitative analysis of multi-dimensional dynamical systems and their application to the problems of astrophysics and gas dynamics previ ously unsolved by traditional methods becomes especially urgent.
Qualitative Theory of Dynamical Systems
Qualitative Theory of Dynamical 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 Qualitative Theory of Dynamical Systems write by Anthony Michel. This book was released on 2001-01-04. Qualitative Theory of Dynamical Systems available in PDF, EPUB and Kindle. "Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."
Qualitative Theory of Hybrid Dynamical Systems
Qualitative Theory of Hybrid Dynamical 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 Qualitative Theory of Hybrid Dynamical Systems write by Alexey S. Matveev. This book was released on 2012-12-06. Qualitative Theory of Hybrid Dynamical Systems available in PDF, EPUB and Kindle. The emerging area of hybrid dynamical systems lies at the interface of control theory and computer science, i.e., analogue 'and' digital aspects of systems. This new monograph presents state-of-the-art concepts, methods and tools for analyzing and describing hybrid dynamical systems.
