Chaos index value calculation system

Data processing: measuring – calibrating – or testing – Measurement system – Statistical measurement

Reexamination Certificate

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C714S025000

Reexamination Certificate

active

07321842

ABSTRACT:
The present invention provides a system for analyzing a time series signal by a method of Chaos Theory and calculating a chaos theoretical exponent value.It is a chaos theoretical exponent value calculation system comprising: a means for receiving an input of predetermined parameters, a means for reading a time series signal, a means for cutting out from the read time series signal a time series signal for each processing unit x=x(i), a means for calculating a chaos theoretical exponent value of the read time series signal, and a means for outputting a chaos theoretical exponent value of the calculated time series signal, wherein the means for calculating a chaos theoretical exponent value comprises: a means for calculating a chaos theoretical exponent value for a sampling time in a time series signal of the cut-out processing unit x=x(i), and a means for calculating, based on the chaos theoretical exponent value for the sampling time, a chaos theoretical exponent value of a time series signal for a predetermined time.

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M. Sano and Y. Sawada “Measurement of the Lyapunov Spectrum from a Chaotic Time Series,” Physical Review Letters, vol. 55, No. 10, Sep. 2, 1985, pp. 1082-1085.
Holger Kantz and Thomas Schreiber, “Nonlinear Time Series Analysis,”, Cambridge Nonlinear Science Series 7, 1997.

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