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Geometric Dynamics pp 401–407Cite as

Flows on S3 and R3 without periodic orbits

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1007))

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References

  1. F.B. Fuller, "Notes on trajectories on a solid torus," Annals of Math (2) 59 (1952), 438–439.

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  2. J. Harrison, "Denjoy Fractals in the plane," preprint.

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  3. J. Harrison, "A C2 Counterexample to the Seifert conjecture," preprint.

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  4. G. S. Jones and J. A. Yorke, "The existence and nonexistence of critical points in bounded flows," J. Differential Equations, 6 (1969), 238–246.

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  5. R. V. Plykin, "Sinks and sources for A-diffeomorphisms on surfaces," (Russian), Math. of U.S.S.R. Sbornik 94 (1974), 243–264.

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  6. P. A. Schweitzer, "Counterexamples to the Seifert conjecture and opening closed leaves of foliations," Annals of Math. (1971), 386–400.

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  7. F. W. Wilson, Jr., "On the minimal sets of non-singular vector fields," Annals of Math., 84 (1966), 529–536.

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Author information

Authors and Affiliations

  1. Somerville College, Oxford, England

    J. Harrison

  2. University of California, Berkeley, California, USA

    J. Harrison

  3. Univ. of Maryland, College Park, Maryland, USA

    James A. Yorke

Authors
  1. J. Harrison
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  2. James A. Yorke
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Editor information

J. Palis Jr.

Additional information

Dedicated to José Massera

This research was partially supported by National Science Foundation grant MCS 7818221A02.

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© 1983 Springer-Verlag

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Harrison, J., Yorke, J.A. (1983). Flows on S3 and R3 without periodic orbits. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061426

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  • DOI: https://doi.org/10.1007/BFb0061426

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12336-1

  • Online ISBN: 978-3-540-40969-4

  • eBook Packages: Springer Book Archive

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