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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
MathSciNet review: 965244
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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?)

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  • [2] Krystyna Kuperberg and Coke Reed, A rest point free dynamical system on 𝑅³ with uniformly bounded trajectories, Fund. Math. 114 (1981), no. 3, 229–234. MR 644408
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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0965244-4
Article copyright: © Copyright 1989 American Mathematical Society