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The strange attractor of a kind of 2-dimensional map and dynamical properties on it | |
Liu CR(刘曾荣); Qin WX; Xie HM; Cao YL; LIU, ZR (reprint author), ACAD SINICA,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. | |
发表期刊 | Science in China Series A-Mathematics Physics Astronomy |
1993 | |
卷号 | 36期号:8页码:976-984 |
ISSN | 1001-6511 |
摘要 | On the basis of previous works, the strange attractor in real physical systems is discussed. Louwerier attractor is used as an example to illustrate the geometric structure and dynamical properties of strange attractor. Then the strange attractor of a kind of two-dimensional map is analysed. Based on some conditions, it is proved that the closure of the unstable manifolds of hyberbolic fixed point of map is a strange attractor in real physical systems. |
关键词 | Strange Attractor Transversal Heteroclinic Cycle Dense Set Sensitive Dependence On Initial cOnditiOns Attraction |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:A1993LX61500007 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/39388 |
专题 | 力学所知识产出(1956-2008) |
通讯作者 | LIU, ZR (reprint author), ACAD SINICA,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. |
推荐引用方式 GB/T 7714 | Liu CR,Qin WX,Xie HM,et al. The strange attractor of a kind of 2-dimensional map and dynamical properties on it[J]. Science in China Series A-Mathematics Physics Astronomy,1993,36,8,:976-984. |
APA | 刘曾荣,Qin WX,Xie HM,Cao YL,&LIU, ZR .(1993).The strange attractor of a kind of 2-dimensional map and dynamical properties on it.Science in China Series A-Mathematics Physics Astronomy,36(8),976-984. |
MLA | 刘曾荣,et al."The strange attractor of a kind of 2-dimensional map and dynamical properties on it".Science in China Series A-Mathematics Physics Astronomy 36.8(1993):976-984. |
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