Structurally Unstable Quadratic Vector Fields of Codimension One

• Main Authors: Artés, Joan C. (Author, http://id.loc.gov/vocabulary/relators/aut), Llibre, Jaume (http://id.loc.gov/vocabulary/relators/aut), Rezende, Alex C. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Subjects: Differential equations.; Dynamics.; Ergodic theory.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.

Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors' work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc,...

Table of Contents:

• Introduction
• Preliminary definitions
• Some preliminary tools
• A summary for the structurally stable quadratic vector fields
• Proof of Theorem 1.1(a)
• Proof of Theorem 1.1(b)
• Bibliography.