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Stable arcs of diffeomorphisms
Author(s):
Sheldon
Newhouse;
Jacob
Palis;
Floris
Takens
Journal:
Bull. Amer. Math. Soc.
82
(1976),
499-502.
MSC (1970):
Primary 34C35, 34C40
MathSciNet review:
0402826
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Additional information
References:
- 1.
- V. I. Arnol'd, Small denominators. I: Mappings of the circumference onto itself, Izv. Akad. Nauk SSSR Ser. Mat. 25 (1961), 21-86; English transl., Amer. Math. Soc. Transl. (2) 46 (1965), 213-284. MR 25 #4113. MR 140699
- 2.
- M. W. Hirsch, C. C. Pugh and M. Shub, Invariant manifolds, Bull. Amer. Math. Soc. 76 (1970), 1015-1019. MR 45 #1188. MR 292101
- 3.
- S. Newhouse and J. Palis, Bifurcations of Morse-Smale dynamical systems, Dynamical Systems (Proc. Sympos., Univ. of Bahia, Salvadore, 1971), Academic Press, New York, 1973, pp. 303-366. MR 48 #12600. MR 334281
- 4.
- S. Newhouse and J. Palis, Cycles and bifurcation theory (to appear). MR 516408
- 5.
- J. Palis, On Morse-Smale dynamical systems, Topology 8 (1968), 385-404. MR 39 #7620. MR 246316
- 6.
- J. Palis and S. Smale, Structural stability theorems, Global Analysis (Proc Sympos. Pure Math., vol. 14, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 223-231. MR 42 #2505. MR 267603
- 7.
- J. Sotomayor, Generic bifurcations of dynamical systems, Dynamical Systems (M. Peixoto, editor) Academic Press, N. Y., 1973, pp. 561-582. MR 49 #4040. MR 339280
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14073-6
PII:
S 0002-9904(1976)14073-6
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