Trajectories escaping to infinity in finite time
Author:
J. K. Langley
Journal:
Proc. Amer. Math. Soc. 145 (2017), 2107-2117
MSC (2010):
Primary 30D30
DOI:
https://doi.org/10.1090/proc/13377
Published electronically:
January 11, 2017
MathSciNet review:
3611324
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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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Additional Information
J. K. Langley
Affiliation:
School of Mathematical Sciences, University of Nottingham, NG7 2RD, United Kingdom
MR Author ID:
110110
Email:
james.langley@nottingham.ac.uk
Received by editor(s):
May 11, 2016
Received by editor(s) in revised form:
July 4, 2016
Published electronically:
January 11, 2017
Communicated by:
Jeremy Tyson
Article copyright:
© Copyright 2017
American Mathematical Society
