Observing Infinite-dimensional Dynamical Systems

We study the extent to which properties of infinite-dimensional dynamical systems can be accurately detected by examining observations of such systems. Let H be a separable Hilbert space. Let f : H H be a map and let A H be a compact set satisfying f(A) = A. We prove that for almost every (in the sense of prevalence) continuous observable : H RM , if f induces a map

• Type: Journal
• Year: 2010
• Where: SIAMADS
• Authors: Jessica Lin, William Ott
• Keywords: Infinite-dimensional Dynamical Systems, Separable Hilbert Space, SIAMADS 2010, Topologically Conjugate