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.
• Physical Description: VI, 267 p. 362 illus., 1 illus. in color. online resource.
• ISBN: 9783319921174
• DOI: 10.1007/978-3-319-92117-4

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. .