The main object in Feigenbaum’s universality theory is the fixed point g(x) of renormalization transformation in the space of unimodal maps on interval [−1, 1]. The map g(x) is called Feigenbaum’s map. In present paper we study the Feigenbaum’s unstable separatrix is that is the family of unimodal maps of the interval [−1, 1] with one critical point. It is established implicit formulas for periodic orbits of this family, and the relations between orbits of different maps of this family.
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