Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-19T05:22:52.627Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of recurrent motions

Published online by Cambridge University Press:  17 April 2009

Ronald A. Knight
Ronald A. Knight
Affiliation:
Mathematics Division, Northeast Missouri State University, Kirksville, Missouri 63501, USA.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Necessary and sufficient conditions for a Poisson stable flow to be recurrent are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1983 , pp. 1 - 4
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Ahmad, Shair, “Strong attraction and classification of certain continuous flows”, Math. Systems Theory 5 (1971), 157–163.CrossRefGoogle Scholar
[2]Bohr, Harald, “Zur Theorie der fast periodischen Funktionen”, Acta Math. 45 (1924), 29–127.CrossRefGoogle Scholar
[3]Gottschalk, W.H., “Almost periodic points with respect to transformation semi-groups”, Ann. of Math. (2) 47 (1946), 762–766.CrossRefGoogle Scholar
[4]Knight, Ronald A., “Recurrent and Poisson stable flows”, Proc. Amer. Math. Soc. 83 (1981), 49–53.CrossRefGoogle Scholar