Injectivity and almost global asymptotic stability of Hurwitz vector fields

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

关键词: Jacobian conjecture;    Global injectivity;    Weak Markus-Yamabe conjecture;    Almost global stability;   

DOI  :  10.1016/j.jmaa.2016.12.078

来源: Elsevier

【 摘 要 】

We present, in dimension n >= 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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free