Abstract
Two types of dynamical systems whose domains have fractal boundaries are proposed. The first one is realized as a dynamical system which induces binary expansions of complex numbers and whose domain is shown to be a twindragon. The second one is proposed as a dynamical system which induces revolving expansions of complex numbers and whose domain is shown to be a tetradragon.
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Mizutani, M., Ito, S. Dynamical systems on dragon domains. Japan J. Appl. Math. 4, 23–46 (1987). https://doi.org/10.1007/BF03167753
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DOI: https://doi.org/10.1007/BF03167753