Trajectories escaping to infinity in finite time

Langley, J.

doi:10.1090/proc/13377

Trajectories escaping to infinity in finite time
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by J. K. Langley

Proc. Amer. Math. Soc. 145 (2017), 2107-2117

DOI: https://doi.org/10.1090/proc/13377

Published electronically: January 11, 2017

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Abstract:

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

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