Persistence of homoclinic tangencies for area-preserving maps

Leonardo Mora; Neptalí Romero

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 4, page 711-725
  • ISSN: 0240-2963

How to cite

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Mora, Leonardo, and Romero, Neptalí. "Persistence of homoclinic tangencies for area-preserving maps." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.4 (1997): 711-725. <http://eudml.org/doc/73440>.

@article{Mora1997,
author = {Mora, Leonardo, Romero, Neptalí},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {2-dimensional symplectic manifold; invariant curves; symplectic maps; homoclinic tangencies},
language = {eng},
number = {4},
pages = {711-725},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Persistence of homoclinic tangencies for area-preserving maps},
url = {http://eudml.org/doc/73440},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Mora, Leonardo
AU - Romero, Neptalí
TI - Persistence of homoclinic tangencies for area-preserving maps
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 4
SP - 711
EP - 725
LA - eng
KW - 2-dimensional symplectic manifold; invariant curves; symplectic maps; homoclinic tangencies
UR - http://eudml.org/doc/73440
ER -

References

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  2. [D] Duarte ( P.) .- Plenty of Elliptic Islands for the Standard Family of Area Preserving Maps, Ann. Inst. Henri-Poincaré4. (1994), pp. 359-409. Zbl0838.58030MR1287238
  3. [Do] Douady ( R.) .- Stabilité ou instabilité des points fixes elliptiques, Ann. École Normale Supérieure, 4-ième série, 21 (1988), pp. 1-46. Zbl0656.58020MR944100
  4. [H] Herman ( M.) . — Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Publ. Math. I.H.E.S.49 (1979), pp. 5-234. Zbl0448.58019MR538680
  5. [M] Moser ( J.) .— Stable and Random Motions in Dynamical Systems, Princeton Univ. Press, Ann. Math. Studies77 (1973). Zbl0271.70009MR442980
  6. [MR] Mora ( L.) and Romero ( N.) .- KAM-Sructure in Homoclinic Bifurcations, preprint 1995. 
  7. [N1] Newhouse ( S.) . — The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms, Publ. Math. I.H.E.S.50 (1979), pp. 101-151. Zbl0445.58022MR556584
  8. [N2] Newhouse ( S.) .— Non-density of Axiom A(a) on S2, Proc. Symp. Pure Math., Amer. Math. Soc., 14 (1970), pp. 191-202. Zbl0206.25801MR277005
  9. [N3] Newhouse ( S.) .- Quasi-elliptic periodic points in conservative dynamical systems, American J. of Math.99 (1977), pp. 1061-1087. Zbl0379.58011MR455049
  10. [SZ] Salamon ( D.) and Zenhder ( E.) .— KAM theory in configuration space, Comment. Math. Helvetici64 (1989), pp. 84-132. Zbl0682.58014MR982563
  11. [Z] Zehnder ( E.) .- Homoclinic Points Near Elliptic Fixed Points, Comm. Pure Appl. Math.26 (1973), pp. 131-182. Zbl0261.58002MR345134

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