Abstract
If the Julia set of a quartic polynomial with certain conditions isneither connected nor totally disconnected, there exists a homeomorphismbetween the set of all components of the filled-in Julia setand some subset of the corresponding symbol space.The question is to determine the quartic polynomialsexhibiting such a dynamicsand describe the topology of the connected componentsof their filled-in Julia sets.In this paper, we answer the question, namelywe show that for any two quadratic Julia sets,there exists a quartic polynomial whose Julia set includescopies of the two quadratic Julia sets.
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