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Bizarre Topology is Natural in Dynamical Systems
Author(s):
Judy
A.
Kennedy;
James
A.
Yorke
Journal:
Bull. Amer. Math. Soc.
32
(1995),
309-316.
MSC (1991):
Primary 54F20, 54F50, 54F12
MathSciNet review:
1307903
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References |
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Additional information
References:
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- M. Barge and R. Gillette, Indecomposability and dynamics on invariant plane separating continua, Contemp. Math. \textbf{117} (1191), 13--38. MR 1112800
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- M. Barge, Homoclinic intersections and indecomposability, Proc. Amer. Math. Soc. \textbf{101} (1987), 541--544. MR 908665
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- R. H. Bing, Concerning hereditarily indecomposable continua, Pacific J. Math. \textbf{1} (1951), 43--51. MR 43451
- [Bi]
- G. D. Birkhoff, Sur quelques courbes ferm\'ees remarquables, Bull. Math. Soc. France \textbf{60} (1932), 1--28. MR 1504983
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- M. Charpentier, Sur quelques propri\'et\'es des de M. Birkhoff, Bull. Math. Soc. France \textbf{62} (1934), 193--224. MR 1505024
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- M. Handel, A pathological area preserving $C^\infty $ diffeomorphism of the plane, Proc. Amer. Math. Soc. \textbf{86} (1982), 163--168. MR 663889
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- M. Herman, Construction of some curious diffeomorphisms of the Riemann sphere, J. London Math. Soc. \textbf{34} (1986), 375--384. MR 856520
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- J. Kennedy and J. A. Yorke, Basins of Wada, Phys. D \textbf{51} (1991), 213--225. MR 1128813
- [KY2]
- J. Kennedy and J. A. Yorke, Pseudocircles in dynamical systems, Trans. Amer. Math. Soc. \textbf{343} (1994), 349--366. MR 1187029
- [KY3]
- J. Kennedy and J. A. Yorke, \emph{Pseudocircles, diffeomorphisms, and perturbable dynamical systems}.
- [KY4]
- J. Kennedy and J. A. Yorke, The dynamics of some diffeomorphisms which admit complicated invariant sets, in preparation.
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- R. Williams, One-dimensional wandering sets, Topology \textbf{6} (1967), 473--487. MR 217808
- [W2]
- R. Williams, Expanding attractors, Inst. Hautes \'Etudes Sci. Publ. Math IHES \textbf{43} (1974), 169--203. MR 348794
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Additional Information:
DOI:
10.1090/S0273-0979-1995-00599-9
PII:
S 0273-0979(1995)00599-9
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