Naval Postgraduate School
Dudley Knox Library
NPS Dudley Knox Library
View Item 
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  •   Calhoun Home
  • Theses and Dissertations
  • 1. Thesis and Dissertation Collection, all items
  • View Item
  • How to search in Calhoun
  • My Accounts
  • Ask a Librarian
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

All of CalhounCollectionsThis Collection

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

Prediction and geometry of chaotic time series

Thumbnail
Download
Iconpredictiongeomet00leon.pdf (4.511Mb)
Download Record
Download to EndNote/RefMan (RIS)
Download to BibTex
Author
Leonardi, Mary L
Date
1997-06
Advisor
Frenzen, Christopher
Beaver, Philip
Metadata
Show full item record
Abstract
This thesis examines the topic of chaotic time series. An overview of chaos, dynamical systems, and traditional approaches to time series analysis is provided, followed by an examination of state space reconstruction. State space reconstruction is a nonlinear, deterministic approach whose goal is to use the immediate past behavior of the time series to reconstruct the current state of the system. The choice of delay parameter and embedding dimension are crucial to this reconstruction. Once the state space has been properly reconstructed, one can address the issue of whether apparently random data has come from a low- dimensional, chaotic (deterministic) source or from a random process. Specific techniques for making this determination include attractor reconstruction, estimation of fractal dimension and Lyapunov exponents, and short-term prediction. If the time series data appears to be from a low-dimensional chaotic source, then one can predict the continuation of the data in the short term. This is the inverse problem of dynamical systems. In this thesis, the technique of local fitting is used to accomplish the prediction. Finally, the issue of noisy data is treated, with the purpose of highlighting where further research may be beneficial
URI
http://hdl.handle.net/10945/8843
Collections
  • 1. Thesis and Dissertation Collection, all items

Related items

Showing items related by title, author, creator and subject.

  • Thumbnail

    Wind assessment for aerial payload delivery systems using GPS and IMU sensors 

    O'Brian, Matthew D. (Monterey, California: Naval Postgraduate School, 2016-09);
    Numerous organizations within the Department of Defense have requested research and development efforts to create a lightweight Joint Precision Airdrop System (JPADS) capable of covertly distributing items to austere or ...
  • Thumbnail

    Lagrangian predictability of high-resolution regional models: thespecial case of the Gulf of Mexico 

    Chu, Peter C.; Ivanov, L.M.; Kantha, L.H.; Margolina, T.M.; Melnichenko, O.V.; Poberezhny, Y.A. (Monterey, California. Naval Postgraduate School, 2004);
    The Lagrangian prediction skill (model ability to reproduce Lagrangian drifter trajectories) of the nowcast/ forecast system developed for the Gulf of Mexico at the University of Colorado at Boulder is examined through ...
  • Thumbnail

    Investigation into the discrepancies between computational fluid dynamic lift predictions and experimental results 

    Fairman, Randall S. (Massachusetts Institute of Technology, 2002-06);
    An analysis of current computational fluid dynamics capabilities in predicting mean lift forces for two dimensional foils is conducted. It is shown that both integral boundary layer theory and Reynolds Averaged Navier ...
NPS Dudley Knox LibraryDUDLEY KNOX LIBRARY
Feedback

411 Dyer Rd. Bldg. 339
Monterey, CA 93943
circdesk@nps.edu
(831) 656-2947
DSN 756-2947

    Federal Depository Library      


Start Your Research

Research Guides
Academic Writing
Ask a Librarian
Copyright at NPS
Graduate Writing Center
How to Cite
Library Liaisons
Research Tools
Thesis Processing Office

Find & Download

Databases List
Articles, Books & More
NPS Theses
NPS Faculty Publications: Calhoun
Journal Titles
Course Reserves

Use the Library

My Accounts
Request Article or Book
Borrow, Renew, Return
Tech Help
Remote Access
Workshops & Tours

For Faculty & Researchers
For International Students
For Alumni

Print, Copy, Scan, Fax
Rooms & Study Spaces
Floor Map
Computers & Software
Adapters, Lockers & More

Collections

NPS Archive: Calhoun
Restricted Resources
Special Collections & Archives
Federal Depository
Homeland Security Digital Library

About

Hours
Library Staff
About Us
Special Exhibits
Policies
Our Affiliates
Visit Us

NPS-Licensed Resources—Terms & Conditions
Copyright Notice

Naval Postgraduate School

Naval Postgraduate School
1 University Circle, Monterey, CA 93943
Driving Directions | Campus Map

This is an official U.S. Navy Website |  Please read our Privacy Policy Notice  |  FOIA |  Section 508 |  No FEAR Act |  Whistleblower Protection |  Copyright and Accessibility |  Contact Webmaster

Export search results

The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

A logged-in user can export up to 15000 items. If you're not logged in, you can export no more than 500 items.

To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.