Topological characterization of the hyperbolic maps in the Sine family

Details Topological characterization of the hyperbolic maps in the Sine family Topological characterization of the hyperbolic maps in the Sine family

2009-04-27

arxiv.org/abs/0904.4081v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

The purpose of this paper is to establish a topological characterization of
all the hyperbolic maps in the Sine family $\{\lambda \sin(z)
\:\big{|}\:\lambda \ne 0\}$ which have super-attracting cycles.

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