Complexity of unimodal maps with aperiodic kneading sequences | |
Wang, Y; Yang, L; Xie, HM; Xie, HM , Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China. | |
刊名 | NONLINEARITY |
1999 | |
卷号 | 12期号:4页码:1151-1176 |
关键词 | Grammatical Complexity Dynamical-systems Computation |
ISSN号 | 0951-7715 |
英文摘要 | It is well established that a format language generated from a unimodal map is regular if and only if the map's kneading sequence is either periodic or eventually periodic. A previously proposed conjecture said that if a language generated from a unimodal map is context-free, then it must be regular, i.e. there exists no proper context-free language which can be generated from a unimodal map. This paper is a step forward in answering this conjecture showing that under two situations the conjecture is true. The main results of this paper are: (1) if the kneading map of a unimodal map is unbounded, then the map's language is not context-free, (2) all nonregular languages generated from the Fibonacci substitutions are context-sensitive, but not context-free. These results strongly suggest that the conjecture may he indeed true. |
学科主题 | Physics |
URL标识 | 查看原文 |
WOS记录号 | WOS:000081621900023 |
公开日期 | 2012-08-29 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/13122] |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | Xie, HM , Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China. |
推荐引用方式 GB/T 7714 | Wang, Y,Yang, L,Xie, HM,et al. Complexity of unimodal maps with aperiodic kneading sequences[J]. NONLINEARITY,1999,12(4):1151-1176. |
APA | Wang, Y,Yang, L,Xie, HM,&Xie, HM , Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China..(1999).Complexity of unimodal maps with aperiodic kneading sequences.NONLINEARITY,12(4),1151-1176. |
MLA | Wang, Y,et al."Complexity of unimodal maps with aperiodic kneading sequences".NONLINEARITY 12.4(1999):1151-1176. |
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