Publication Cover
Applicable Analysis
An International Journal
Volume 52, 1994 - Issue 1-4
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Original Articles

The poincaré manifold at a stable equilibrium of c2 planar flow

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Pages 247-259 | Received 13 Oct 1991, Published online: 02 May 2007

References

  • Carr , J. 1981 . “ Applications of Center Manifold Theory ” . New York : Springer-Verlag .
  • Chow , S.N. and Hale , J.K. 1981 . “ Methods of Bifurcation Theory ” . New York : Springer-Verlag .
  • Poincaré , H. 1886 . Oeuvres . 1 : 202 – 204 .
  • Rivera , W. in press . The Poincaré manifold of a Cr planar flow .
  • Ruelle , D. 1989 . “ Elements of Differentiable Dynamics and Bifurcation Theory ” . San Diego : Academic Press .
  • Shub , M. 1987 . “ Global Stability of Dynamical Systems ” . New York : Springer-Verlag .
  • Sternberg , S. 1955 . On the behavior of invariant curves near a hyperbolic fixed point of a surface transformation . American Journal of Mathematics , 11 : 526 – 535 .

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