English

Trajectories escaping to infinity in finite time

Complex Variables 2016-07-14 v3

Abstract

If the function ff is transcendental and meromorphic in the plane, and either ff has finitely many poles or its inverse function has a logarithmic singularity over infinity, then the equation z˙=f(z)\dot z = f(z) has infinitely many trajectories tending to infinity in finite increasing time

Cite

@article{arxiv.1507.02861,
  title  = {Trajectories escaping to infinity in finite time},
  author = {J. K. Langley},
  journal= {arXiv preprint arXiv:1507.02861},
  year   = {2016}
}

Comments

Final version (to appear Proc. Amer. Math. Soc.)

R2 v1 2026-06-22T10:09:30.267Z