Infinite-dimensional linear dynamical systems with chaoticity
文献类型：期刊论文
| 作者 | Fu, XC; Duan, J |
| 刊名 | JOURNAL OF NONLINEAR SCIENCE
 |
| 出版日期 | 1999-03-01 |
| 卷号 | 9期号:2页码:197-211 |
| 关键词 | infinite-dimension linearity chaoticity |
| 英文摘要 | The authors present two results on infinite-dimensional linear dynamical systems with chaoticity. One is about the chaoticity of the backward shift map in the space of infinite sequences on a general Frechet space. The other is about the chaoticity of a translation map in the space of real continuous functions. The chaos is shown in the senses of both Li-Yorke and Wiggins. Treating dimensions as freedoms, the two results imply that in the case of an infinite number of freedoms, a system may exhibit complexity even when the action is linear. Finally, the authors discuss physical applications of infinite-dimensional linear chaotic dynamical systems. |
| WOS标题词 | Science & Technology ; Physical Sciences ; Technology |
| 类目[WOS] | Mathematics, Applied ; Mechanics ; Physics, Mathematical |
| 研究领域[WOS] | Mathematics ; Mechanics ; Physics |
| 关键词[WOS] | CHAOS ; OPERATORS ; DEFINITION |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000078827500003 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8373]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 3.Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA |
| 推荐引用方式 GB/T 7714 | Fu, XC,Duan, J. Infinite-dimensional linear dynamical systems with chaoticity[J]. JOURNAL OF NONLINEAR SCIENCE,1999,9(2):197-211. |
| APA | Fu, XC,&Duan, J.(1999).Infinite-dimensional linear dynamical systems with chaoticity.JOURNAL OF NONLINEAR SCIENCE,9(2),197-211. |
| MLA | Fu, XC,et al."Infinite-dimensional linear dynamical systems with chaoticity".JOURNAL OF NONLINEAR SCIENCE 9.2(1999):197-211. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。