✦ LIBER ✦

Symmetries of star products and metric universalities in 1D quadri-modal maps

✍ Scribed by Zhong Zhou; Wen Gao; Hong-Zhang Liu; Shou-Li Peng

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 370 KB
Volume: 20
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(03)00413-2

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✦ Synopsis

Star products in symbolic dynamics of 1D quadri-modal maps are presented, the complexity of substitution rules is discussed besides their inherent cyclic and dual properties. Feigenbaum's metric universalities in bifurcations of periodn-tupling sequences are calculated by the new numerical method of the word-lifting technique for quadri-modal maps. It is known that symmetries of dynamic behavior are pretty different between even-modal maps and odd-modal maps, the former has central symmetric property in phase space. This paper provide a complete example to obtain star products of even-modal maps.

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