Injectivity and almost global asymptotic stability of Hurwitz vector fields

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• 作者：Á ; lvaro Castañ ; eda ; ^{castaneda@uchile.cl} ; Ví ; ctor Guí ; ñ ; ez
• 关键词：Jacobian conjecture ; Global injectivity ; Weak Markus&ndash ; Yamabe conjecture ; Almost global stability
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1670-1683
• 全文大小：357 K
• 卷排序：449

文摘

We present, in dimension n≥3n≥3, a survey of examples to: the Jacobian conjecture, the weak Markus–Yamabe conjecture. Furthermore, we show and construct new examples of vector fields where the origin is almost globally asymptotic stable by using the novel concept of density functions introduced by Rantzer.