Structurally Unstable Quadratic Vector Fields of Codimension One
Description
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.
Keywords
MathematicsDifferential EquationsMathematical AnalysisLinear & Nonlinear Programming
2018Book
Author(s)Joan C. Artés
PublisherSpringer International Publishing
ISBN9783319921167
LanguageEnglish
