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Gradient vectorfields near degenerate singularities

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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. F. Dumortier, Singularities of Vectorfields in the Plane, J. Differential Equations 23 (1977) 53–106.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. John Guckenheimer, Bifurcation and Catastrophe, in Dynamical Systems (M. M. Peixoto, ed.), Academic Press, New York, 1973.

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  4. Philip Hartman, Ordinary Differential Equations, John Wiley and Sons, New York, 1964.

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  5. F. S. Macaulay, The Algebraic Theory of Modular Systems, Cambridge University Press, London, 1916.

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  6. Manifolds-Amsterdam 1970 (N. Kuiper, ed.), Lecture Notes in Mathematics 197, Springer-Verlag, New York, 1971: "Problems Concerning Manifolds," Problem D 4c of R. Thom, p. 229; "A Solution: An example as requested in the problem of R. Thom, D 4c," by F. Takens, p. 231.

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  7. D. Shafer, Topological Equivalence of Gradient Vectorfields, to appear in Trans. Amer. Math. Soc.

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  8. F. Takens, Singularities of Vectorifields, I.H.E.S. Pub. Math. 43 (1974) 47–100.

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Zbigniew Nitecki Clark Robinson

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© 1980 Springer-Verlag

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Shafer, D. (1980). Gradient vectorfields near degenerate singularities. 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/BFb0087004

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  • DOI: https://doi.org/10.1007/BFb0087004

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

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