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Moduli and bifurcations; Non-transversal intersections of invariant manifolds of vectorfields

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Part of the Lecture Notes in Mathematics book series (LNM,volume 799)

Keywords

  • Vector Field
  • Invariant Manifold
  • Unstable Manifold
  • Stable Manifold
  • Integral Curve

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References

  1. KUPKA, I., Contribution à la theorie des champs génériques, in Contributions to differential equations, Vol. 2, (1963), 457–484 and Vol. 3, (1964), 411–420.

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  2. SMALE, S., Stable manifolds for differential equations and diffeomorphisms, Ann. Scuola Norm. Sup., Pisa, 18, (1963), 97–116.

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  3. TAKENS, F., Global phenoman in bifurcations of dynamical systems with simple recurrence, to appear in the proceedings of the annual congress (1978) of the German Mathematical Society D.M.V.

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  4. PALIS, J., A differentiable invariant of topological conjugacies and moduli of stability, Astérisque 51, (1978), 335–346.

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  5. MELO, W. de, Moduli of stability of two dimensional diffeomorphisms, to appear in Topology.

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  6. NEWHOUSE, S., PALIS, J., and TAKENS, F., Stable families of diffeomorphisms, to appear.

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© 1980 Springer-Verlag

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Takens, F. (1980). Moduli and bifurcations; Non-transversal intersections of invariant manifolds of vectorfields. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089325

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  • DOI: https://doi.org/10.1007/BFb0089325

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09986-4

  • Online ISBN: 978-3-540-39251-4

  • eBook Packages: Springer Book Archive