Qualitative Theory Of Differentiable Dynamical Systems
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Author | : Shantao Liao |
Publisher | : Science Press New York |
Total Pages | : 410 |
Release | : 1996 |
Genre | : Medical |
ISBN | : |
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Author | : Viktor Vladimirovich Nemytskii |
Publisher | : Princeton University Press |
Total Pages | : 532 |
Release | : 2015-12-08 |
Genre | : Mathematics |
ISBN | : 1400875951 |
Download Qualitative Theory of Differential Equations Book in PDF, Epub and Kindle
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 | : V. V. Nemytskii |
Publisher | : Courier Corporation |
Total Pages | : 548 |
Release | : 1989-01-01 |
Genre | : Mathematics |
ISBN | : 9780486659541 |
Download Qualitative Theory of Differential Equations Book in PDF, Epub and Kindle
Graduate-level text considers existence and continuity theorems, integral curves of a system of 2 differential equations, systems of n-differential equations, general theory of dynamical systems, systems with an integral invariant, more. 1960 edition.
Author | : Tong-Ren Ding |
Publisher | : World Scientific |
Total Pages | : 394 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 981270468X |
Download Approaches to the Qualitative Theory of Ordinary Differential Equations Book in PDF, Epub and Kindle
This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing's equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.
Author | : Alexey S. Matveev |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2000-03-23 |
Genre | : Mathematics |
ISBN | : 0817641416 |
Download Qualitative Theory of Hybrid Dynamical Systems Book 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.
Author | : Dingjun Luo |
Publisher | : World Scientific |
Total Pages | : 275 |
Release | : 1993-09-21 |
Genre | : Science |
ISBN | : 9814504602 |
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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.
Author | : Anthony Michel |
Publisher | : CRC Press |
Total Pages | : 738 |
Release | : 2001-01-04 |
Genre | : Mathematics |
ISBN | : 9780203908297 |
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"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 | : Jaume Llibre |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2013-10-30 |
Genre | : Mathematics |
ISBN | : 3034806574 |
Download Introduction to the Qualitative Theory of Differential Systems Book in PDF, Epub and Kindle
The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists.
Author | : Freddy Dumortier |
Publisher | : Springer Science & Business Media |
Total Pages | : 309 |
Release | : 2006-10-13 |
Genre | : Mathematics |
ISBN | : 3540329021 |
Download Qualitative Theory of Planar Differential Systems Book in PDF, Epub and Kindle
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 | : Alexey S. Matveev |
Publisher | : Springer Science & Business Media |
Total Pages | : 354 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461213649 |
Download Qualitative Theory of Hybrid Dynamical Systems Book 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.