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＜電子ブック＞
Introduction to the Qualitative Theory of Differential Systems : Planar, Symmetric and Continuous Piecewise Linear Systems / by Jaume Llibre, Antonio E. Teruel
(Birkhäuser Advanced Texts Basler Lehrbücher. ISSN:22964894)

版	1st ed. 2014.
出版者	(Basel : Springer Basel : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XIII, 289 p. 84 illus., 1 illus. in color : online resource
著者標目	*Llibre, Jaume author Teruel, Antonio E author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:System theory LCSH:Control theory FREE:Differential Equations FREE:Systems Theory, Control
一般注記	Preface -- 1 Introduction and statement of the main results -- 2 Basic elements of the qualitative theory of ODEs -- 3 Fundamental systems -- 4 Return maps -- 5 Phase portraits -- Index -- Bibliography.   The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. 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 dynamics at infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and physicists HTTP:URL=https://doi.org/10.1007/978-3-0348-0657-2

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