Integrated method for chaotic time series analysis

Details Integrated method for chaotic time series analysis Integrated method for chaotic time series analysis

1997-05-08

1998-09-29

Trammel, James P.

Boots, shoes, and leggings

702190, 702191, 600544, 600545, A61B 500

Patent

active

058154132

ABSTRACT:
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.

REFERENCES:
patent: 5311876 (1994-05-01), Olsen et al.
patent: 5349962 (1994-09-01), Lockard et al.
patent: 5392788 (1995-02-01), Hudspeth
patent: 5511537 (1996-04-01), Hively
patent: 5626145 (1997-05-01), Clapp et al.
A.M. Fraser and H. L. Swinney, "Independent Coordinates for Strange Attractors from Mutual Information," Phys. Rev A 33, 1134-1140 (1986).
R.C. Watt and S.R. Hameroff, "Phase Space Analysis of Human EEG during General Anesthesia," Ann. N.Y. Acad. Sci. 504, 286-288 (1987).
G.A. Korn and T.M. Korn, Mathematical Handbook for Scientists and Engineers , McGraw Hill Book Company (second edition) 1968 (Section 19.6-19.7).
M. Abramowitz and I. A. Stegun (ed.), Handbook of Mathematical Functions , U.S. Government Printing Office (Washington, D.C.) 1964 (Equation 26.4.11).
H.D.I. Abarbanel, R. Brown, J.J. Sidorowich, and L. Sh. Tsimring, "The Analysis of Observed Chaotic Data in Physical Systems," Rev. Mod. Phys. 65, 1331-1392 (1993).
P. Grassberger, T. Schreiber, C. Schaffrath, "Nonlinear Time Sequence Analysis," Int. J. Bifur. Chaos 3, 521-547 (1991).
D.S. Broomhead and G.P. King, "Extracting Qualitative Dynamics from Experimental Data," Physica D 20, 217-236 (1986).

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