Integrated method for chaotic time series analysis

Hively, Lee M; Ng, Esmond G

Integrated method for chaotic time series analysis

Patent · 31 December 1997

OSTI ID:871874

Hively, Lee M ^[1]; Ng, Esmond G ^[2]

Philadelphia, TN
Concord, TN

Methods and apparatus for automatically detecting differences between similar but different states in a nonlinear process monitor nonlinear data. Steps include: acquiring the data; digitizing the data; obtaining nonlinear measures of the data via chaotic time series analysis; obtaining time serial trends in the nonlinear measures; and determining by comparison whether differences between similar but different states are indicated.

Research Organization:: LOCKHEED MARTIN ENERGY RES COR

DOE Contract Number:: AC05-96OR22464

Assignee:: Lockheed Martin Energy Research Corporation (Oak Ridge, TN)

Patent Number(s):: US 5815413

OSTI ID:: 871874

Country of Publication:: United States

Language:: English

References (6)

Independent coordinates for strange attractors from mutual information Fraser, Andrew M.; Swinney, Harry L. Physical Review A, Vol. 33, Issue 2 https://doi.org/10.1103/PhysRevA.33.1134	journal	February 1986
The analysis of observed chaotic data in physical systems Abarbanel, Henry D. I.; Brown, Reggie; Sidorowich, John J. Reviews of Modern Physics, Vol. 65, Issue 4 https://doi.org/10.1103/RevModPhys.65.1331	journal	October 1993
G. A. Korn, and T. M. Korn, Mathematical Handbook for Scientists and Engineers. XVII + 1130 S. m. Fig. u. Tab. New York/San Francisco/Toronto/London/Sydney 1968. McGraw-Hill Book Company. Preis geb. $ 25.00 Heinrich, H. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 49, Issue 9 https://doi.org/10.1002/zamm.19690490921	journal	January 1969
Nonlinear time Sequence Analysis Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten International Journal of Bifurcation and Chaos, Vol. 01, Issue 03 https://doi.org/10.1142/S0218127491000403	journal	September 1991
Phase Space Analysis of Human EEG during General Anesthesia Watt, Richard C.; Hameroff, Stuart R. Annals of the New York Academy of Sciences, Vol. 504, Issue 1 Perspectives https://doi.org/10.1111/j.1749-6632.1987.tb48742.x	journal	July 1987
Extracting qualitative dynamics from experimental data Broomhead, D. S.; King, Gregory P. Physica D: Nonlinear Phenomena, Vol. 20, Issue 2-3 https://doi.org/10.1016/0167-2789(86)90031-X	journal	June 1986

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/702/600/
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Integrated method for chaotic time series analysis

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References (6)

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