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

• 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: Mathematics.; Differential equations.; Partial differential equations.; System theory.; Ordinary Differential Equations.; Systems Theory, Control.; Partial Differential Equations.

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...

Table of Contents:

• 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.  .