Overview
Follows a similar work on structurally stable systems
Proves that there are at most 211 and at least 204 structurally unstable codimension one topologically different phase portraits in the Poincaré disc modulo limit cycles
Gives an overview on recent research in the area
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Structurally Unstable Quadratic Vector Fields of Codimension One
Authors: Joan C. Artés, Jaume Llibre, Alex C. Rezende
DOI: https://doi.org/10.1007/978-3-319-92117-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-92116-7Published: 06 July 2018
eBook ISBN: 978-3-319-92117-4Published: 28 June 2018
Edition Number: 1
Number of Pages: VI, 267
Number of Illustrations: 361 b/w illustrations, 1 illustrations in colour
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory