Introduction to the Qualitative Theory of Differential Systems Planar, Symmetric and Continuous Piecewise Linear Systems /

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 intere...

Full description

Bibliographic Details
Main Authors: Llibre, Jaume (Author), Teruel, Antonio E. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Springer Basel : Imprint: Springer, 2014.
Series:Birkhäuser Advanced Texts Basler Lehrbücher,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XIII, 289 p. 84 illus., 1 illus. in color. online resource.
ISBN:9783034806572
ISSN:1019-6242