Periodic points and rotation numbers for area preserving diffeomorphisms of the plane

John Franks

Publications Mathématiques de l'IHÉS (1990)

  • Volume: 71, page 105-120
  • ISSN: 0073-8301

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Franks, John. "Periodic points and rotation numbers for area preserving diffeomorphisms of the plane." Publications Mathématiques de l'IHÉS 71 (1990): 105-120. <http://eudml.org/doc/104063>.

@article{Franks1990,
author = {Franks, John},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {area preserving diffeomorphism; periodic point; simple heteroclinic cycle; rotation number},
language = {eng},
pages = {105-120},
publisher = {Institut des Hautes Études Scientifiques},
title = {Periodic points and rotation numbers for area preserving diffeomorphisms of the plane},
url = {http://eudml.org/doc/104063},
volume = {71},
year = {1990},
}

TY - JOUR
AU - Franks, John
TI - Periodic points and rotation numbers for area preserving diffeomorphisms of the plane
JO - Publications Mathématiques de l'IHÉS
PY - 1990
PB - Institut des Hautes Études Scientifiques
VL - 71
SP - 105
EP - 120
LA - eng
KW - area preserving diffeomorphism; periodic point; simple heteroclinic cycle; rotation number
UR - http://eudml.org/doc/104063
ER -

References

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  1. [C] C. CONLEY, Iso ated Invariant Sets and the Morse index, C.B.M.S. Regional Conference Series in Math., 38 (1978), Amer. Math. Soc. Providence, R.I. Zbl0397.34056MR80c:58009
  2. [F1] J. FRANKS, Recurrence and Fixed Points of Surface Homeomorphisms, Ergodic Theory and Dyn. Systems, 8* (1988), 99-107. Zbl0634.58023MR90d:58124
  3. [F2] J. FRANKS, A Variation on the Poincaré-Birkhoff Theorem, "Hamiltonian Dynamics", Contemporary Math., Amer. Math. Soc., 81, 111-116. Zbl0679.58026MR90e:58095
  4. [Th] W. THURSTON, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc., 19 (1988), 417-431. Zbl0674.57008MR89k:57023
  5. [W] W. WILSON, Smoothing derivatives of functions and applications, Trans. Amer. Math. Soc., 139 (1969), 416-428. Zbl0175.20203MR40 #4974

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