Real polynomial diffeomorphisms with maximal entropy: Tangencies

Annals of Mathematics

Volumn 160, Issue 1, 2004, Pages 1-26

  Bedford, Eric ^a   Smillie, John ^b  

^a INDIANA UNIVERSITY   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15744371234     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2004.160.1     Document Type: Article

References (12)

1. 2. IV. The measure of maximal entropy and laminar currents, Invent. Math. 112 (1993), 77-125.
2. 2. VIII. Quasi-expansion, Amer. J. Math. 124 (2002), 221-271.
3. [BL] C. BONATTI and R. LANGEVIN, Difféomorphismes de Smale des Surfaces, Astérisque 250, Soc. Math. France, Paris, 1998.
4. R. DEVANEY and Z. NITECKI, Shift automorphisms in the Hénon mapping, Comm. Math. Phys. 67 (1979), 137-146.
5. [F] J. M. FRANKS, Homology and Dynamical Systems, CBMS 49, A.M.S., Providence, RI, 1982.
6. [FM] S. FRIEDLAND and J. MILNOR, Dynamical properties of plane polynomial automorphisms, Ergodic Theory Dynam, Systems 9 (1989), 67-99.
7. [HO] J. H. HUBBARD and R. OBERSTE-VORTH, Hénon mappings in the complex domain. II. Projective and inductive limits of polynomials, in: Real and Complex Dynamical Systems (Hillerød, 1993) (B. Branner and P. Hjorth, eds.), 89-132, Kluwer Acad. Publ., Dordrecht, 1995.
8. [KKY] I. KAN, H. KOÇAK, and J. A. YORKE, Antimonotonicity: concurrent creation and annihilation of periodic orbits, Ann. of Math. 136 (1992), 219-252.
9. [M] J. MILNOR, Nonexpansive Hénon maps, Adv. Math. 69 (1988), 109-114.
10. [NP] S. NEWHOUSE and J. PALIS, Hyperbolic nonwandering sets on two-dimensional manifolds, in Dyniamical Systemsm Proc. Sympos. (Univ. Bahia, Salvador, 1971), 293-301, Academic Press, New York, 1973.
11. [O] R. OBERSTE-VORTH, Complex horseshoes, Ph. D. Thesis, Cornell University, 1987.
12. [R] C. ROBINSON, Dynamical Systems, CRC Press, Boca Raton, FL, 1995.