Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

One-dimensional dynamics: The Schwarzian derivative and beyond


Authors: W. de Melo and S. van Strien
Journal: Bull. Amer. Math. Soc. 18 (1988), 159-162
MSC (1985): Primary 58F13; Secondary 54H20
DOI: https://doi.org/10.1090/S0273-0979-1988-15633-9
MathSciNet review: 929092
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References [Enhancements On Off] (What's this?)

  • Pierre Collet and Jean-Pierre Eckmann, Iterated maps on the interval as dynamical systems, Progress in Physics, vol. 1, Birkhäuser, Boston, Mass., 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.
  • John Guckenheimer, Sensitive dependence to initial conditions for one-dimensional maps, Comm. Math. Phys. 70 (1979), no. 2, 133–160. MR 553966
  • David Singer, Stable orbits and bifurcation of maps of the interval, SIAM J. Appl. Math. 35 (1978), no. 2, 260–267. MR 0494306, https://doi.org/10.1137/0135020

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DOI: https://doi.org/10.1090/S0273-0979-1988-15633-9