Extending the HKB model of coordinated movement to oscillators with different eigenfrequencies.

Abstract:

:We study the dynamics of a system of coupled nonlinear oscillators that has been used to model coordinated human movement behavior. In contrast to earlier work we examine the case where the two component oscillators have different eigenfrequencies. Problems related to the decomposition of a time series (from an experiment) into amplitude and phase are discussed. We show that oscillations at multiples of the main frequency of the oscillator system may occur in the phase and amplitude due to the choice of a coordinate system and how these oscillations can be eliminated. We derive an explicit equation for the dynamics of the relative phase of the oscillator system in phase space that enables a direct comparison between theory and experiment.

journal_name

Biol Cybern

journal_title

Biological cybernetics

authors

Fuchs A,Jirsa VK,Haken H,Kelso JA

doi

10.1007/BF00199134

subject

Has Abstract

pub_date

1996-01-01 00:00:00

pages

21-30

issue

1

eissn

0340-1200

issn

1432-0770

journal_volume

74

pub_type

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