NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
An introduction to chaotic and random time series analysisThe origin of chaotic behavior and the relation of chaos to randomness are explained. Two mathematical results are described: (1) a representation theorem guarantees the existence of a specific time-domain model for chaos and addresses the relation between chaotic, random, and strictly deterministic processes; (2) a theorem assures that information on the behavior of a physical system in its complete state space can be extracted from time-series data on a single observable. Focus is placed on an important connection between the dynamical state space and an observable time series. These two results lead to a practical deconvolution technique combining standard random process modeling methods with new embedded techniques.
Document ID
19900057811
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Scargle, Jeffrey D.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: International Journal of Imaging Systems and Technology
Volume: 1
ISSN: 0899-9457
Subject Category
Physics (General)
Accession Number
90A44866
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available