Multifrequency behavioral patterns and the phase attractive circle map
type: Item
instance of: scholarly article
title: Multifrequency behavioral patterns and the phase attractive circle map
zbMATH Open document ID: 0722.92004
DOI: 10.1007/BF00202613
published in: Biological Cybernetics
publication date: 1991-01-01T00:00:00Z
review text: With relative phase as a collective variable or order parameter, phase attractive dynamics can capture the temporally coherent behavior of a large number of different experimental systems. We present results from multifrequency coordination experiments in humans showing: a) that phase attraction persists especially for low order frequency ratios; b) that short-term jumps from one phase relation to another occur within a frequency ratio; c) that the most stable frequency-ratios are low order; and d) that transitions frequently occur from higher order (e.g. 5:2, 4:3) to lower order (2:1, 1:1) frequency ratios. We study a modified sine circle map with built-in phase attractive dynamics that qualitatively accounts for these results.
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 92C30
zbMATH DE Number: 4191447
zbMATH Keywords: phase attractive dynamics
zbMATH Keywords: multifrequency coordination experiments
zbMATH Keywords: phase attraction
zbMATH Keywords: low order frequency ratios
zbMATH Keywords: short-term jumps
zbMATH Keywords: modified sine circle map
author: Gonzalo C. de Guzman
author: J. A. Scott Kelso
Wikidata QID: Q67930140
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00202613
OpenAlex ID: W2006369110
description: scientific article; zbMATH DE number 4191447