English

Injectivity and Almost Global Stability of Hurwitz Vector Fields

Dynamical Systems 2016-09-30 v6

Abstract

We present, in dimension n3n \geq 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 asymptotically stable by using the novel concept of density functions introduced by Rantzer.

Keywords

Cite

@article{arxiv.1504.00400,
  title  = {Injectivity and Almost Global Stability of Hurwitz Vector Fields},
  author = {Álvaro Castañeda and Víctor Guíñez},
  journal= {arXiv preprint arXiv:1504.00400},
  year   = {2016}
}
R2 v1 2026-06-22T09:08:29.786Z