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arXiv · 1507.02861

Trajectories escaping to infinity in finite time

J. K. Langley
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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 infinity, then the equation $\dot z = f(z)$ has infinitely many trajectories tending to infinity in finite increasing time

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J. K. Langley. 2015-07-10. Trajectories escaping to infinity in finite time. https://arxiv.org/abs/1507.02861

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