Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A dynamical system on $ {\bf R}\sp 3$ with uniformly bounded trajectories and no compact trajectories


Authors: K. M. Kuperberg and Coke S. Reed
Journal: Proc. Amer. Math. Soc. 106 (1989), 1095-1097
MSC: Primary 58F25; Secondary 54H20, 58F10
DOI: https://doi.org/10.1090/S0002-9939-1989-0965244-4
MathSciNet review: 965244
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper contains an example of a rest point free dynamical system on $ {R^3}$ with uniformly bounded trajectories, and with no circular trajectories. The construction is based on an example of a dynamical system described by P. A. Schweitzer, and on an example of a dynamical system on $ {R^3}$ constructed previously by the authors.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58F25, 54H20, 58F10

Retrieve articles in all journals with MSC: 58F25, 54H20, 58F10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0965244-4
Article copyright: © Copyright 1989 American Mathematical Society