Keywords
- Vector Field
- Fundamental Domain
- Saddle Connection
- Local Homeomorphism
- Hopf Point
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References
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.
S. Newhouse, J. Palis & F. Takens, “Stable families of diffeomorphisms”, IMPA preprint, 1980.
M. Peixoto, “Structural stability on two dimensional manifolds”, Topology 1, 1962, pp. 101–120.
J. Sotomayor, “Generic one-parameter families of vector fields on two-dimensional manifolds”, Publ. IHES 43, 1974, pp. 5–46.
J. Sotomayor, “Structural stability and bifurcation theory”, Dynamical Systems, Ed. M. Peixoto, Academic Press, 1973, pp. 549–560.
F. Takens, “Normal forms for certain singularities of vector fields”, Ann. Inst. Fourier, 23 (1973), (2), pp. 163–195.
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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
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