Flows on S3 and R3 without periodic orbits

  • J. Harrison
  • James A. Yorke
Conference paper
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 1007)

Keywords

Vector Field Periodic Orbit Flow Plug Solid Torus Hyperbolic Periodic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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    F.B. Fuller, "Notes on trajectories on a solid torus," Annals of Math (2) 59 (1952), 438–439.MathSciNetCrossRefMATHGoogle Scholar
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    J. Harrison, "A C2 Counterexample to the Seifert conjecture," preprint.Google Scholar
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    G. S. Jones and J. A. Yorke, "The existence and nonexistence of critical points in bounded flows," J. Differential Equations, 6 (1969), 238–246.MathSciNetCrossRefMATHGoogle Scholar
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    R. V. Plykin, "Sinks and sources for A-diffeomorphisms on surfaces," (Russian), Math. of U.S.S.R. Sbornik 94 (1974), 243–264.MathSciNetGoogle Scholar
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    P. A. Schweitzer, "Counterexamples to the Seifert conjecture and opening closed leaves of foliations," Annals of Math. (1971), 386–400.Google Scholar
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    F. W. Wilson, Jr., "On the minimal sets of non-singular vector fields," Annals of Math., 84 (1966), 529–536.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • J. Harrison
    • 1
    • 2
  • James A. Yorke
    • 3
  1. 1.Somerville CollegeOxfordEngland
  2. 2.University of CaliforniaBerkeleyUSA
  3. 3.Univ. of MarylandCollege ParkUSA

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