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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

One-dimensional dynamics: The Schwarzian derivative and beyond

Author(s): W. de Melo; S. van Strien
Journal: Bull. Amer. Math. Soc. 18 (1988), 159-162.
MSC (1985): Primary 58F13; Secondary 54H20
MathSciNet review: 929092
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References | Similar articles | Additional information

References:

[C-E] P. Collet and J. Eckmann, Iterated maps of the interval as dynamical systems, Birkhäuser, 1980. MR 613981

[D] A. Denjoy, Sur les courbes définié par les équations différentielles à la surface du tore, J. Math. Pures Appl. 11 (1932), ser. 9.

[G] J. Guckenheimer, Sensitive dependence on initial conditions for one-dimensional maps, Comm. Math. Phys. 70 (1979), 133-160. MR 553966

[Si] D. Singer, Stable orbits and bifurcations of maps of the interval, SIAM J. Appl. Math. 35 (1978), 260. MR 494306


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Additional Information:

DOI: 10.1090/S0273-0979-1988-15633-9
PII: S 0273-0979(1988)15633-9


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