Date of Award
1995
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Ding, Mingzhou
Abstract
A time series is a data set of a single quantity sampled at intervals T time units apart. It is widely used to represent a chaotic dynamical system. The correlation dimension measures the complexity of a dynamical system. Using the delay-coordinate map and the extended GP algorithm one can estimate the correlation dimension of an experimental dynamical system from measured time series. This thesis discusses the mathematical foundation of the methods and the corresponding applications. The embedding theorems and their relationship with dimension preservation are reviewed in detail, but more attention is focussed on the concept development.
Extent
63 p.
Recommended Citation
Jiang, Wangye, "Time series analysis and correlation dimension estimation: Mathematical foundation and applications" (1995). Electronic Theses and Dissertations 1990 - 1999. 849.
https://digitalcommons.fau.edu/etd_general_4/849
Identifier
FADT15213
Comments
Charles E. Schmidt College of Science|Thesis (M.S.)--Florida Atlantic University, 1995.|FAU Electronic Theses and Dissertations Collection|Charles E. Schmidt College of Science