Structurally Unstable Quadratic Vector Fields of Codimension One

Download or read book Structurally Unstable Quadratic Vector Fields of Codimension One written by Joan C. Artés and published by Springer. This book was released on 2018-06-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.