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Singular points of planar vector fields

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Global Theory of Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 819))

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References

  1. A. A. Andronov, et. al, Qualitative Theory of Second Order Dynamic Systems, John Wiley and Sons, New York, 1973.

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  2. I. Bendixson, "Sur les courbes définies par des équations différentielles," Acta Math., 24(1901), 1–88.

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  3. F. Dumortier, "Singularities of vector fields on the plane," J. of Diff. Eq., 23(1977), 53–106.

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  4. S. Schecter and M. F. Singer, "Separatrices at Singular Points of Planar Vector Fields," preprint.

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  5. __________, "Elliptic Sectors at Singular Points of Planar Vector Fields," preprint.

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Author information

Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, 27650, Raleigh, North Carolina

    Stephen Schecter & Michael F. Singer

Authors
  1. Stephen Schecter
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  2. Michael F. Singer
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Zbigniew Nitecki Clark Robinson

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© 1980 Springer-Verlag

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Schecter, S., Singer, M.F. (1980). Singular points of planar vector fields. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087003

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  • DOI: https://doi.org/10.1007/BFb0087003

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

  • eBook Packages: Springer Book Archive

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