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Some remarks about homoclinic points of second order differential equations

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Geometric Dynamics

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

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References

  1. P. Holmes and J.E. Marsden: Qualitative techniques for bifurcation analysis of complex systems, in Bifurcation Theory and Application to Scientific Disciplines, New York Academy of Sciences, 1979, p.p. 608–622.

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  2. R. Mc Gehee and K.R. Meyer: Homoclinic points of area preserving diffeomorphisms, Am. J. Math. 96 (1974), p.p. 409–421.

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  3. V.K. Mel'nikov: One the stability of the center for time periodic solutions Transactions Moscow Math. Soc. (Trudy) 12 (1963), p.p. 3–56.

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  4. A.D. Morozov: On the complete qualitative investigation of the equation of Duffin, Differentialniye Uravneniya, 12 (1976), p.p. 241–255.

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  5. Shui-Nee CHOW, J. Mallet-Paret and J. K. Hale: An examle of bifurcation to homoclinic orbits

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Author information

Authors and Affiliations

  1. Laboratoire de Topologie E.R.A. 945 C.N.R.S., Université de Dijon, France

    Sonia de Carvalho & Robert Roussarie

Authors
  1. Sonia de Carvalho
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  2. Robert Roussarie
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J. Palis Jr.

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© 1983 Springer-Verlag

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de Carvalho, S., Roussarie, R. (1983). Some remarks about homoclinic points of second order differential equations. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061411

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  • DOI: https://doi.org/10.1007/BFb0061411

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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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