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Dynamical Systems and Turbulence, Warwick 1980 pp 212–229Cite as

Families of vector fields with finite modulus of stability

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

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References

  1. J. Guckenheimer, “One-parameter families of vector fields on two-manifolds: another non-density theorem”, Dynamical Systems, Ed. M. Peixoto, Academic Press, 1973, pp. 111–127.

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  2. S. Newhouse, J. Palis & F. Takens, “Stable families of diffeomorphisms”, IMPA preprint, 1980.

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  3. M. Peixoto, “Structural stability on two dimensional manifolds”, Topology 1, 1962, pp. 101–120.

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  4. J. Sotomayor, “Generic one-parameter families of vector fields on two-dimensional manifolds”, Publ. IHES 43, 1974, pp. 5–46.

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  5. J. Sotomayor, “Structural stability and bifurcation theory”, Dynamical Systems, Ed. M. Peixoto, Academic Press, 1973, pp. 549–560.

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  6. F. Takens, “Normal forms for certain singularities of vector fields”, Ann. Inst. Fourier, 23 (1973), (2), pp. 163–195.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Pontifícia Universidade Católica, Rua Marques de S. Vicente, 225, 22.453, Rio de Janeiro, R.J., Brazil

    I. P. Malta

  2. Instituto de Matemática Pura e Aplicada, Rua Luiz de Camões, 68, 20.060, Rio de Janeiro, R.J., Brazil

    J. Palis

Authors
  1. I. P. Malta
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  2. J. Palis
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David Rand Lai-Sang Young

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© 1981 Springer-Verlag

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Malta, I.P., Palis, J. (1981). Families of vector fields with finite modulus of stability. 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/BFb0091915

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  • DOI: https://doi.org/10.1007/BFb0091915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

  • eBook Packages: Springer Book Archive

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