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Dynamical Systems
An International Journal
Volume 23, 2008 - Issue 4
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Original Articles

Linearization of families of germs of hyperbolic vector fields

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Pages 467-489 | Received 31 Mar 2008, Accepted 07 Jul 2008, Published online: 07 Nov 2008

References

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  • Bonckeart , P and Naudot , V . 2001 . Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension 3 . Ann. Fac. Sci. Toulouse Math. (6) , 10 ( 4 ) : 595 – 617 .
  • Mourtada , A . 1991 . Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude . Ann. Inst. Fourier , 41 ( 3 ) : 719 – 753 .
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  • Samovol , VS . 1989 . A necessary and sufficient condition of smooth linearization of autonomous planar systems in a neighborhood of a critical point . Matematicheskie Zametki , 46 : 67 – 77 .

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