Extracting causal information from a chaotic time series

Details Extracting causal information from a chaotic time series Extracting causal information from a chaotic time series

2006-08-15

2006-08-15

Nghiem, Michael (Department: 2863)

Data processing: measuring, calibrating, or testing

Measurement system

Performance or efficiency evaluation

C702S190000, C702S070000

Reexamination Certificate

active

07092849

ABSTRACT:
Embodiments of the present invention provide a method, a system, and a computer code for analyzing the state of a first system (e.g., the autonomic system) from a time-varying signal representing a chaotic series of time intervals between quasi-periodical events produced by a second system (e.g., the cardiac system) governed by the first system. In one embodiment, the method includes extracting envelope information from the time-varying signal, constructing a phase space for the time-varying signal, extracting information on the relative positions of points corresponding to the time-varying signal in the phase space, combining the envelope and the position information and, based on this combination, providing information on the state of the first system.

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Abarbanel, H. D. I., “The analysis of observed chaotic data in physical systems,”Reviews of Modern Physics, American Physical Society, 65(4):1331-1392 (1993).

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