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Cyclic star products and universalities in symbolic dynamics of trimodal maps |
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| Authors: | Zhong Zhou Shou-Li Peng |
| Affiliation: | a Center for Nonlinear Complex Systems, Department of Physics, Yunnan University, Kunming, Yunnan 650091, PR China b CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China |
| Abstract: | Cyclic star products for the triple superstable kneading (TSSK) sequences are presented for symbolic dynamics of trimodal maps of endomorphisms on the interval. Feigenbaum’s metric universalities in unimodal maps are generalized to trimodal maps. Four equal-value universal convergent rates {δa,δc,δη,δa,c,η} and three universal scaling factors {C,D,E} are first obtained. |
| Keywords: | Cyclic star product Symbolic dynamics Metric universality TSSK sequences of CycI type and CycII type Height ordering relation |
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