Structurally Stable Quadratic Vector Fields
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Structurally Stable Quadratic Vector Fields
Author: Joan C. Artés
language: en
Publisher: American Mathematical Soc.
Release Date: 1998
This book solves a problem that has been open for over 20 years--the complete classification of structurally stable quadratic vector fields modulo limit cycles. The authors give all possible phase portraits for such structurally stable quadratic vector fields. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Structurally Unstable Quadratic Vector Fields of Codimension One
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.
Structurally Stable Quadratic Vector Fields
Author: Joan C. Artés
language: en
Publisher: American Mathematical Society(RI)
Release Date: 2014-09-11
This book is intended for graduate students and research mathematicians.