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Introduction to the Qualitative Theory of Differential Systems
Jaume LlibreAntonio E. Teruel
其他書名
Planar, Symmetric and Continuous Piecewise Linear Systems
出版Springer Science & Business Media, 2013-10-30
主題Mathematics / Differential Equations / GeneralScience / System TheoryMathematics / Mathematical AnalysisLanguage Arts & Disciplines / Library & Information Science / General
ISBN30348065749783034806572
URLhttp://books.google.com.hk/books?id=67fDBAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.