 98367 Fu X.C., Duan Jinqiao
 InfiniteDimensional Linear Dynamical Systems with Chaoticity
(41K, LaTeX)
May 25, 98

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. The authors present two results on
infinitedimensional linear dynamical systems with chaoticity. One is about the
chaoticity of the backward shift map in the space of infinite sequences on a
general Fr\'{e}chet 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 LiYorke 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 infinitedimensional linear chaotic
dynamical systems.
 Files:
98367.tex