Structurally Unstable Quadratic Vector Fields of Codimension One

1. Auflage 2018
ISBN: 978-3-319-92116-7
Verlag: Springer International Publishing

Buch, Englisch, 267 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 4219 g

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, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them. 

Zielgruppe

Research

Autoren/Hrsg.

Artés, Joan C.

Rezende, Alex C.

Llibre, Jaume

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

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.