Logo - springer
Slogan - springer

Mathematics - Dynamical Systems & Differential Equations | Introduction to the Qualitative Theory of Differential Systems - Planar, Symmetric and Continuous

Introduction to the Qualitative Theory of Differential Systems

Planar, Symmetric and Continuous Piecewise Linear Systems

Llibre, Jaume, Teruel, Antonio E.

2014, XIII, 289 p. 84 illus., 1 illus. in color.

A product of Springer Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.99

(net) price for USA

ISBN 978-3-0348-0657-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$79.99

(net) price for USA

ISBN 978-3-0348-0656-5

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Excellent for learning the use of basic results on qualitative theory of differential systems
  • Illustrates how to use the Poincaré map for studying the periodic orbits of a differential system
  • Shows the importance of compactification of the domain of definition of a differential system for the understanding of the global dynamics of the system
  • Points out the importance of bifurcation diagrams for describing the different dynamics of differential systems depending on parameters
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.

Content Level » Graduate

Keywords » Poincaré map - bifurcation, bifurcation diagram - compactification - periodic solutions - qualitative theory

Related subjects » Applications - Dynamical Systems & Differential Equations

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Ordinary Differential Equations.