Intermingled basins for the triangle map

Ergodic Theory and Dynamical Systems

Volumn 16, Issue 4, 1996, Pages 651-662

  Alexander, James C ^a   Hunt, Brian R ^b   Kan, Ittai ^c   Yorke, James A ^b  

^a Bldg 142   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030507956     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385700009020     Document Type: Article

References (14)

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3. P. Collet and J-P. Eckmann. Iterated Maps on the Interval as Dynamical Systems. Birkhauser, Boston, 1980.
4. B. R. Hunt. Estimating invariant measures and Lyapunov exponents. Ergod. Th. & Dynam. Sys. pp. 735-749 of this issue.
5. B. R. Hunt, T. Sauer and J. A. Yorke. Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces. Bull. Amer. Math. Soc. 27 (1992), 217-238; Prevalence: an addendum. Bull. Amer. Math. Soc. 28 (1993), 306-307.
6. B. R. Hunt, T. Sauer and J. A. Yorke. Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces. Bull. Amer. Math. Soc. 27 (1992), 217-238; Prevalence: an addendum. Bull. Amer. Math. Soc. 28 (1993), 306-307.
7. M. V. Jakobson. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Comm. Math. Phys. 81 (1981), pp. 39-88.
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9. I. Kan. Intermingled basins. Ergod. Th. & Dynam. Sys. (to appear).
10. A. Lopes. Dynamics of real polynomials on the plane and triple point phase transition. Math. Comp. Mod. 13 (1990), 17-32.
11. V. I. Oseledec. A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19 (1968), 197-231.
12. C. Pugh and M. Shub. Ergodic Attractors. Trans. Amer. Math. Soc. 312 (1989), 1-54.
13. D. Ruelle. Applications conservant une mesure absolument continue par rapport à dx sur [0,1]. Comm. Math. Phys. 55 (1977), 47-51.
14. M. Rychlik and E. Sorets. Regularity and other properties of absolutely continuous invariant measures for the quadratic family. Comm. Math. Phys. 150 (1992), 217-236.