A dynamical system on 𝑅³ with uniformly bounded trajectories and no compact trajectories

Kuperberg, K. M.; Reed, Coke S.

doi:10.1090/S0002-9939-1989-0965244-4

A dynamical system on $\textbf {R}^ 3$ with uniformly bounded trajectories and no compact trajectories
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by K. M. Kuperberg and Coke S. Reed

Proc. Amer. Math. Soc. 106 (1989), 1095-1097

DOI: https://doi.org/10.1090/S0002-9939-1989-0965244-4

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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

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