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Characterising diffeomorphisms with modulus of stability one

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Part of the Lecture Notes in Mathematics book series (LNM,volume 898)

Keywords

  • Periodic Orbit
  • Distance Function
  • Periodic Point
  • Unstable Manifold
  • Saddle Connection

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References

  1. M. Hirsch, C. Pugh & M. Shub: Invariant manifolds, Lecture Notes in Math., 583, Springer-Verlag, (1977).

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  2. M. de Melo, Moduli of stability of two-dimensional diffeomorphisms, Topology 19, (1980), 9–21.

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  4. S. Newhouse, J. Palis & F. Takens, Stable families of diffeomorphisms, IMPA, preprint.

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© 1981 Springer-Verlag

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de Melo, W., Palis, J., van Strien, S.J. (1981). Characterising diffeomorphisms with modulus of stability one. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091919

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  • DOI: https://doi.org/10.1007/BFb0091919

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

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