Enhancing Poincare plot information via sampling ratesR.A. Thuraisingham
1A, Russell Street, Eastwood, Sydney, NSW 2122, Australia
Abstract
Poincare plots of a continuous solution of the logistic equation at different sampling rates are studied. The study uses
the continuous solution obtained for the parameter A = 4 in the logistic equation. This solution of the logistic equation
used in this study provides a useful handle to study sampling effects and at the same time look at a system which exhibits
complex correlations. The results of this study show that the Poincare plots of a continuous function at different sampling
rates provide valuable information about the complex correlations present in the system. This additional information provided
by the Poincare plots of data from a continuous system sampled at different rates will be a useful and simple way of
studying correlations present in a real system with applications in biomedicine.
 2006 Elsevier Inc. All rights reserved.
Keywords: Poincare plot; Sampling rate; Logistic equation; Correlations
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