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  7. Introduction to the Qualitative Theory of Differential Systems

Introduction to the Qualitative Theory of Differential Systems

Planar, Symmetric and Continuous Piecewise Linear Systems

Jaume Llibre, Antonio E Teruel
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Description

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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Editeur:

Contenu

Nombre de pages :
289
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9783034806565
Date de parution :
13-11-13
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
160 mm x 234 mm
Poids :
566 g

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