Generalized Reversibility of Topological Dynamical Systems and Cellular Automata
文献类型：期刊论文
| 作者 | Zhang, Kuize1,2; Zhang, Lijun1,3 |
| 刊名 | JOURNAL OF CELLULAR AUTOMATA
 |
| 出版日期 | 2015 |
| 卷号 | 10期号:5-6页码:425-434 |
| 关键词 | Topological dynamical system cellular automaton generalized reversibility limit set topological entropy undecidability Drazin inverse |
| ISSN号 | 1557-5969 |
| 英文摘要 | In this paper, we characterize the reversibility of topological dynamical systems over the limit sets. We define a new concept of generalized inverse systems for topological dynamical systems, and prove that (i) a topological dynamical system has a generalized inverse system if and only if it is injective over its limit set and its limit set is reached in finite time, and (ii) if a topological dynamical system has a generalized inverse system, these two systems have the same topological entropy. For cellular automata (CAs), a particular class of topological dynamical systems, we prove some additional properties: (iii) A CA has a generalized inverse CA if and only if it is injective over its limit set. (iv) It is undecidable whether a given CA has a generalized inverse CA. |
| 资助项目 | Fundamental Research Funds for Central Universities[HEUCFX41501] ; Key Laboratory of Systems and Control, Chinese Academy of Sciences ; Program for New Century Excellent Talents in University of Ministry of Education of China ; Basic Research Foundation of Northwestern Polytechnical University[JC201230] ; National Natural Science Foundation of China[61174047] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000364606800005 |
| 出版者 | OLD CITY PUBLISHING INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21160]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Kuize |
| 作者单位 | 1.Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Marine Sci Technol, Xian 710072, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Kuize,Zhang, Lijun. Generalized Reversibility of Topological Dynamical Systems and Cellular Automata[J]. JOURNAL OF CELLULAR AUTOMATA,2015,10(5-6):425-434. |
| APA | Zhang, Kuize,&Zhang, Lijun.(2015).Generalized Reversibility of Topological Dynamical Systems and Cellular Automata.JOURNAL OF CELLULAR AUTOMATA,10(5-6),425-434. |
| MLA | Zhang, Kuize,et al."Generalized Reversibility of Topological Dynamical Systems and Cellular Automata".JOURNAL OF CELLULAR AUTOMATA 10.5-6(2015):425-434. |
入库方式： OAI收割
来源：数学与系统科学研究院
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