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Structurally Unstable Quadratic Vector Fields of Codimension One

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概要 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. .続きを見る
目次 Introduction
Preliminary definitions
Some preliminary tools
A summary for the structurally stable quadratic vector fields
Proof of Theorem 1.1(a)
Proof of Theorem 1.1(b)
Bibliography.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2018 English/International

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登録日 2020.06.27
更新日 2020.06.28