English

A complex limit cycle not intersecting the real plane

Dynamical Systems 2022-02-07 v1 Complex Variables

Abstract

We give a precise example of a polynomial vector field on R2\mathbb{R}^2 whose corresponding singular holomorphic foliation of C2\mathbb{C}^2 possesses a complex limit cycle which does not intersect the real plane R2\mathbb{R}^2.

Keywords

Cite

@article{arxiv.2202.01982,
  title  = {A complex limit cycle not intersecting the real plane},
  author = {Ali Taghavi},
  journal= {arXiv preprint arXiv:2202.01982},
  year   = {2022}
}
R2 v1 2026-06-24T09:19:21.890Z