A Technique for estimating geometrical synchronization of biomedical signals

Abstract

A technique for the evaluation of geometrical synchronization between data signals based on optimal attractor reconstruction is demonstrated and validated using coupled chaotic logistic maps. The measure is then applied to estimate the degree of synchronization between human heart rate variability and Earth’s local geomagnetic activity. 1. Introduction Evaluation of synchronization between data signals is a broadly discussed concept among researchers since it can be applied in the analysis of a wide range of phenomena. Several examples include analysis of biomedical signals in health sciences and biological systems, investigation of coupled circuits or laser systems in electronics and optics [1-3]. In [4, 5] we proposed a technique capable of estimating the degree of geometrical synchronization via near-optimal chaotic attractor embedding. In this paper, the measure is demonstrated and validated using the example of two coupled chaotic logistic maps. The technique is then applied to assess the impact of Earth’s local magnetic field on individual’s biomedical parameters. 2. Estimation of geometrical synchronization between two time series Geometrical similarity between two time series can be estimated via the algorithms developed [...].