Omega limit sets, minimal dynamical systems and the Julia set of ....

Details Omega limit sets, minimal dynamical systems and the Julia set of .... Omega limit sets, minimal dynamical systems and the Julia set of ....

2010-03-16

arxiv.org/abs/1003.3069v1

Mathematics

Dynamical Systems

Scientific paper

First, we prove that every omega limit set is of first kind, that is,
infinite omega limit set contains no periodic orbit. Our method is more
combinatorial. We prove that there are minimal dynamical systems which are not
uniquely ergodic. Second, we study the complex structure of the Julia set of
mapping T_\alpha where is running in We prove that J(T_\alpha) is not real.

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