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Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
Author(s):
Ittai
Kan
Journal:
Bull. Amer. Math. Soc.
31
(1994),
68-74.
MSC (1991):
Primary 54C35, 58F13
MathSciNet review:
1254075
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References:
- [1]
- S.~W.~McDonald, C.~Grebogi, E.~Ott, and J.~A.~Yorke, Fractal basin boundaries, Phys.~D \textbf{17} (1985), 125--153. MR 815280
- [2]
- R.~Bowen, On Axiom A diffeomorphisms, CBMS Regional Conf. Ser. in Math., vol. 35, Amer. Math. Soc., Providence, RI, 1978. MR 482842
- [3]
- J.~C.~Alexander, I.~Kan, J.~A.~Yorke, and Zhiping You, Riddled basins, Internat.~J.~Bifur. Chaos Appl. Sci. Engrg. \textbf{2} (1992), 795--813. MR 1206103
- [4]
- J.~Milnor, On the concept of attractor, Comm. Math. Phys. \textbf{99} (1985), 177--195. MR 790735
- [5]
- Ju.~S.~Il'yashenko, The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type, Chaos \textbf{1} (1991), 168--173. MR 1135904
- [6]
- I.~Kan, Intermingled basins, Ergodic Theory Dynamical Systems (to appear). MR
- [7]
- M.~Hirsch, C.~Pugh, and M.~Shub, Invariant manifolds, Lecture Notes in Math., vol. 583, Springer-Verlag, New York, 1977. MR 501173
- [8]
- Y.~B.~Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys \textbf{32} (1977), 55--114. MR 466791
- [9]
- A.~B.~Katok and J.~M.~Strelcyn, Invariant manifolds, entropy and billiards\,\RM : Smooth maps with singularities, Lecture Notes in Math., vol. 1222, Springer-Verlag, New York, 1986. MR 872698
- [10]
- C.~Pugh and M.~Shub, Ergodic attractors, Trans.~Amer.~Math.~Soc. \textbf{312} (1989), 1--54. MR 983869
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00507-5
PII:
S 0273-0979(1994)00507-5
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