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Bifurcation of invariant tori in R3

Part of the Lecture Notes in Mathematics book series (LNM,volume 782)

Keywords

  • Periodic Point
  • Rotation Number
  • Invariant Torus
  • Invariant Circle
  • Transcritical Bifurcation

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Bibliography

  1. A. CHENCINER, G. IOOSS Bifurcations de tores invariants, Arch. Rat. Mech. Anal., 69, 109–198 (1979)

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  2. A. CHENCINER, G. IOOSS Persistance et Bifurcation de tores invariants, Arch. Rat. Mech. Anal. (to appear)

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  3. M.R. HERMAN Mesure de Lebesgue et nombre de rotation. Lect. Notes in Maths, 597, p. 271–293, Springer Verlag, Berlin 1977

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  4. D. RUELLE, F. TAKENS On the nature of turbulence. Comm. Math. Phys. 20, p. 167–192 (1971)

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© 1980 Springer-Verlag

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Iooss, G. (1980). Bifurcation of invariant tori in R3 . In: Bardos, C., Lasry, J.M., Schatzman, M. (eds) Bifurcation and Nonlinear Eigenvalue Problems. Lecture Notes in Mathematics, vol 782. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090433

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  • DOI: https://doi.org/10.1007/BFb0090433

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09758-7

  • Online ISBN: 978-3-540-38637-7

  • eBook Packages: Springer Book Archive