NON-LINEAR DYNAMICS OF THE RESPIRATORY OSCILLATOR

A.G. Polak, J. Mroczka

Abstract

Numerical procedures for detection of deterministic chaos in non-linear time series have been prepared. The procedures include reconstruction of the phase space, estimation of the maximal Lyapunov exponent and calculation of capacity and correlation dimensions. Prepared algorithms have been successfully tested with simulated data of the Hénon map and the logistic equation, and then used for investigation of the respiratory rate variability (RRV). The dimensions of the RRV signal in the phase space reconstructed are rational numbers and the Lyapunov exponent is positive, suggesting that the respiratory oscillator exhibits chaotic dynamics. An estimate of the RRV attractor dimension can be a potential indicator of abnormalities in respiratory system activity.

Keywords

non-linear dynamics, respiratory rate, invariant measures

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IMEKO-WC-2000-TC13-P341.pdf

DOI

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IMEKO TC

TC13 - Measurements in Biology and Medicine

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