Structurally Unstable Quadratic Vector Fields of Codimension One

Artés, Joan C.; Llibre, Jaume; Rezende, Alex C.

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. 

Details

Published by: Birkhäuser

Publication Date: 2018-07-06

Format: Paperback

ISBN-13: 9783319921167

DOI: 10.1007/978-3-319-92117-4

Dimensions: 235cm x155cm

Pages: 267