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

Publications Mathématiques de l'IHÉS (1990)

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

## Access Full Article

top## How to cite

topFranks, 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

top- [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
- [F1] J. FRANKS, Recurrence and Fixed Points of Surface Homeomorphisms, Ergodic Theory and Dyn. Systems, 8* (1988), 99-107. Zbl0634.58023MR90d:58124
- [F2] J. FRANKS, A Variation on the Poincaré-Birkhoff Theorem, "Hamiltonian Dynamics", Contemporary Math., Amer. Math. Soc., 81, 111-116. Zbl0679.58026MR90e:58095
- [Th] W. THURSTON, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc., 19 (1988), 417-431. Zbl0674.57008MR89k:57023
- [W] W. WILSON, Smoothing derivatives of functions and applications, Trans. Amer. Math. Soc., 139 (1969), 416-428. Zbl0175.20203MR40 #4974

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.