@article{AIHPA_1989__50_3_335_0, author = {Gambaudo, J. M. and Van Strien, S. and Tresser, C.}, title = {The periodic orbit structure of orientation preserving diffeomorphisms on {D2} with topological entropy zero}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {335--356}, publisher = {Gauthier-Villars}, volume = {50}, number = {3}, year = {1989}, mrnumber = {1017968}, zbl = {0701.58030}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1989__50_3_335_0/} }
TY - JOUR AU - Gambaudo, J. M. AU - Van Strien, S. AU - Tresser, C. TI - The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero JO - Annales de l'I.H.P. Physique théorique PY - 1989 SP - 335 EP - 356 VL - 50 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1989__50_3_335_0/ LA - en ID - AIHPA_1989__50_3_335_0 ER -
%0 Journal Article %A Gambaudo, J. M. %A Van Strien, S. %A Tresser, C. %T The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero %J Annales de l'I.H.P. Physique théorique %D 1989 %P 335-356 %V 50 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1989__50_3_335_0/ %G en %F AIHPA_1989__50_3_335_0
Gambaudo, J. M.; Van Strien, S.; Tresser, C. The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero. Annales de l'I.H.P. Physique théorique, Tome 50 (1989) no. 3, pp. 335-356. http://archive.numdam.org/item/AIHPA_1989__50_3_335_0/
REFERENCES [A.F.] Unremovable Closed Orbits, in Geometric Dynamics, J. PALIS Ed., Lecture Notes in Math., No. 1007, 1983, pp. 22-29, (1983). | MR | Zbl
and ,[B.Periodic Orbits
, , and ,M.Y.] and Topological Entropy of One-Dimensional Maps, Lecture Notes in Math., No. 819, 1980, pp. 18-34. | Zbl
[Bi] Braids, Links, and Mapping Class Groups, Annals of Mathematics studies, Princeton University Press, 1975. | MR | Zbl
,[Bl.F.] Dynamical Complexity of Orientation Reversing Diffeomorphisms of Surfaces, Inventiones math., Vol. 62, 1980, pp. 333-339. | MR | Zbl
and ,[Bo 1] Braid Types and a Topological Method of Proving Positive Entropy, preprint, 1987.
,[Bo 2] An Analog of Sharkovski's. Theorem for Twist Maps, Summer Conference on Hamiltonian Dynamical Systems, proceeding A.M.S.-S.I.A.M. 1987. | Zbl
,[Bro]Über die periodischen transformationen der Kugel, Math. Ann., Vol. 80, 1919, pp. 39-41. | JFM | MR
,[Ca] Automorphisms of Surfaces After Nielsen and Thurston, lecture notes by .
,[Ei] Sur les transformations périodiques de la surface de sphere, Fund. Math., Vol. 22, 1934, pp. 28-41. | Zbl
,[F.L.P.] Travaux de Thurston sur les surfaces, Astérisque, Vol. 66-67, 1979.
, and ,[Fr] Entropy and Twisted Cohomology, Topology, Vol. 25, 1986, pp. 455- 470. | MR | Zbl
,[Ha] Zero Entropy Surface Diffeomorphisms, preprint, 1986.
,[H.W.] Knotted Periodic Orbits in Suspension of Smale's Horseshoe: Torus Knots and Bifurcation Sequences, Arch. Rat, Mech. Anal., Vol. 90, 1985, pp. 115-194. | MR | Zbl
and ,[Ka] Lyapounov Exponents, Entropy and Periodic Orbits for Diffeomorphisms, Publ. Math. I.H.E.S., Vol. 51, 1980, pp. 137-173. | Numdam | MR | Zbl
,[Kerc] The Nielsen Realization Problem, Annals of Math., Vol. 117, 1983, pp. 235-265. | MR | Zbl
,[Kere] Sur la structure des transformations topologiques des surfaces en elles-mêmes, L'Enseignement Math., Vol. 35, 1936, pp. 297-316. | Zbl
,[Kob] Links of Homeomorphisms of a Disc and Topological Entropy, Invent. math., Vol. 80, 1985, pp. 153-159. | MR | Zbl
,[Mor] Non-Singular Morse-Smale Flows on 3-Dimensional Manifolds, Topology, Vol. 18, 1978, pp. 41-53. | Zbl
,[Sar] Coexistence of Cycles of a Continuous Map of a Line Into Itself, Ukr. Math., Vol. 16, 1964, pp. 61-71. | MR
,[Smi] Periodic Points of Surface Homeomorphisms with Zero Entropy, Ergod. Th. & Dynam. Sys., Vol. 3, 1983, pp. 315-334. | Zbl
,[Th] Three Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry, Bull. A.M.S., Vol. 6, 1982, pp. 357-381. | MR | Zbl
,