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Download book Introduction to the Qualitative Theory of Differential Systems
Download book Introduction to the Qualitative Theory of Differential Systems

Introduction to the Qualitative Theory of Differential Systems by Antonio E Teruel
Introduction to the Qualitative Theory of Differential Systems

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Author: Antonio E Teruel
Number of Pages: 289 pages
Published Date: 30 Nov 2013
Publisher: Springer Basel
Publication Country: Switzerland
Language: English
ISBN: 9783034806565
Download Link: Introduction to the Qualitative Theory of Differential Systems ---------------------------------------------------------------


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.

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