The multipliers of periodic points in one-dimensional dynamics

Details The multipliers of periodic points in one-dimensional dynamics The multipliers of periodic points in one-dimensional dynamics

1997-10-15

arxiv.org/abs/math/9710210v2

Nonlinearity 12 (1999), 217--227

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/12/2/003

It will be shown that the smooth conjugacy class of an $S-$unimodal map which
does not have a periodic attractor neither a Cantor attractor is determined by
the multipliers of the periodic orbits. This generalizes a result by M.Shub and
D.Sullivan for smooth expanding maps of the circle.

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