Infinite-Dimensional Linear Dynamical Systems with Chaoticity

被引：0

作者：

X. -C. Fu

J. Duan

机构：

[1] Mathematics Institute,

[2] University of Warwick,undefined

[3] Coventry CV4 7AL,undefined

[4] UK,undefined

[5] and Wuhan Institute of Physics and Mathematics,undefined

[6] The Chinese Academy of Sciences,undefined

[7] P.O. Box 71010,undefined

[8] Wuhan 430071,undefined

[9] People's Republic of China,undefined

[10] Department of Mathematical Sciences,undefined

[11] Clemson University,undefined

[12] Clemson,undefined

[13] SC 29634,undefined

[14] USA,undefined

来源：

Journal of Nonlinear Science | 1999年 / 9卷

关键词：

Key words. infinite-dimension, linearity, chaoticity;

D O I：

暂无

中图分类号：

学科分类号：

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 Fréchet 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.

引用

页码：197 / 211

页数：14