Trajectories escaping to infinity in finite time

Langley, James

Abstract

Given a function which is transcendental and meromorphic in the plane, such that either the function has finitely many poles or its inverse function has a logarithmic singularity over infinity, the corresponding meromorphic flow has infinitely many trajectories tending to infinity in finite increasing time.

Citation

Langley, J. (2017). Trajectories escaping to infinity in finite time. Proceedings of the American Mathematical Society, 145(5), 2107-2117. https://doi.org/10.1090/proc/13377

• Journal Article Type: Article
• Acceptance Date: Jul 13, 2016
• Publication Date: Jan 11, 2017
• Deposit Date: Jul 13, 2016
• Publicly Available Date: Jan 11, 2017
• Journal: Proceedings of the American Mathematical Society
• Print ISSN: 0002-9939
• Electronic ISSN: 1088-6826
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 145
• Issue: 5
• Pages: 2107-2117
• DOI: https://doi.org/10.1090/proc/13377
• Public URL: https://nottingham-repository.worktribe.com/output/840878
• Publisher URL: http://www.ams.org/journals/proc/2017-145-05/S0002-9939-2017-13377-2/
• Additional Information: First published in Proceedings of the American Mathematical Society in volume 145 no. 5, published by the American Mathematical Society