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Author : Shantao Liao
Publisher : Science Press New York
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.62/5 ( download)
Download or read book Qualitative Theory of Differentiable Dynamical Systems written by Shantao Liao and published by Science Press New York. This book was released on 1996 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Michel
Publisher : CRC Press
ISBN 13 : 9780203908297
Total Pages : 738 pages
Book Rating : 4.95/5 ( download)
Download or read book Qualitative Theory of Dynamical Systems written by Anthony Michel and published by CRC Press. This book was released on 2001-01-04 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Author : Anthony Michel
Publisher : CRC Press
ISBN 13 : 0203908295
Total Pages : 732 pages
Book Rating : 4.97/5 ( download)
Download or read book Qualitative Theory of Dynamical Systems written by Anthony Michel and published by CRC Press. This book was released on 2001-01-04 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Author : Viktor Vladimirovich Nemytskii
Publisher : Princeton University Press
ISBN 13 : 1400875951
Total Pages : 532 pages
Book Rating : 4.55/5 ( download)
Download or read book Qualitative Theory of Differential Equations written by Viktor Vladimirovich Nemytskii and published by Princeton University Press. This book was released on 2015-12-08 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Oleg Igorevich Bogoi͡avlenskiĭ
Publisher : Springer
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.19/5 ( download)
Download or read book Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics written by Oleg Igorevich Bogoi͡avlenskiĭ and published by Springer. This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luo Dingjun
Publisher : World Scientific
ISBN 13 : 9814504602
Total Pages : 272 pages
Book Rating : 4.07/5 ( download)
Download or read book Qualitative Theory of Dynamical Systems written by Luo Dingjun and published by World Scientific. This book was released on 1993-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the global qualitative behavior of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behavior near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known. Contents:Preparations of Differentiable Manifolds and Differential TopologyDynamical Systems on ManifoldsLocal Properties of Flows and DiffeomophismsStructural Stability and BifurcationsChaotic BehaviorGeneric Properties Readership: Pure and applied mathematicians and applied scientists. keywords: “… a clear and easy-to-read introduction to dynamical systems in which one can find many definitions, much information and also some important proofs.” Mathematical Reviews “The style of the book is brief and compact, and the selected materials are lucid and refined. Each topic is stated clearly from the simple to the profound. This book can serve both as an easy-reading introduction to the study field of dynamical systems for the beginner and as a valuable reference for the specialists.” Mathematics Abstracts
Author : Leonid P. Shilnikov
Publisher : World Scientific
ISBN 13 : 9789810233822
Total Pages : 420 pages
Book Rating : 4.25/5 ( download)
Download or read book Methods of Qualitative Theory in Nonlinear Dynamics written by Leonid P. Shilnikov and published by World Scientific. This book was released on 1998 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alexey S. Matveev
Publisher : Springer Science & Business Media
ISBN 13 : 1461213649
Total Pages : 354 pages
Book Rating : 4.42/5 ( download)
Download or read book Qualitative Theory of Hybrid Dynamical Systems written by Alexey S. Matveev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Freddy Dumortier
Publisher : Springer Science & Business Media
ISBN 13 : 3540329021
Total Pages : 309 pages
Book Rating : 4.22/5 ( download)
Download or read book Qualitative Theory of Planar Differential Systems written by Freddy Dumortier and published by Springer Science & Business Media. This book was released on 2006-10-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.
Author : S. Kh Aranson E. V. Zhuzhoma
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897690
Total Pages : 368 pages
Book Rating : 4.91/5 ( download)
Download or read book Introduction to the qualitative theory of dynamical systems on surfaces written by S. Kh Aranson E. V. Zhuzhoma and published by American Mathematical Soc.. This book was released on with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensional systems. This is connected mainly with the existence of nontrivial recurrent trajectories for such flows. The investigation of dynamical sytems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need by familiar only with basic courses indifferential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text. The results expounded can be used for investigating mathematical models of mechanical, physical, and other systems (billiards in polygons, the dynamics of a spinning top with nonholonomic constraints, the structure of liquid crystals, etc). The book should be useful not only to mathematicians in all areas, but also to specialists with a mathematical background who are studying dynamical processes: mechanical engineers, physicists, biologists, and so on.
