Dept. Math, Hokkaido Univ. EPrints Server

Random dynamics from a time series of physiological rhythms

Preprint Series # 1012
Sato, Yuzuru and Matsumoto, Kazuhiro Random dynamics from a time series of physiological rhythms. (03 July 2012);

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Abstract

A random dynamics with two stochastic terms is modeled based on a time series of physiological experimental data to study synchrony between human heartbeats and pedaling rhythms modulated by music. We observe reproduced time series, rotation numbers, and invariant densities in the model to explain transitory stagnation motion of synchrony in the experiments.

Item Type:Preprint
Additional Information:Proceedings of NOLTA 2012
Uncontrolled Keywords:Random dynamical systems, time series analysis, circle maps
Subjects:92-xx BIOLOGY AND OTHER NATURAL SCIENCES
37-xx DYNAMICAL SYSTEMS AND ERGODIC THEORY
ID Code:2212