Trajectories escaping to infinity in finite time
classification
🧮 math.CV
keywords
infinityfinitefunctionmanytimetrajectorieseitherequation
read the original 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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