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Extending the HKB model of coordinated movement to oscillators with different eigenfrequencies
1Institut für Theoretische Physik und Synergetik, Universität Stuttgart, Germany.
Biological Cybernetics
|January 1, 1996
Summary
This study analyzes coupled nonlinear oscillators modeling human movement. We address issues in decomposing time series data and show how to eliminate spurious oscillations for accurate phase dynamics comparison.
Area of Science:
- Nonlinear dynamics
- Biophysics
- Human movement analysis
Background:
- Coupled nonlinear oscillators model coordinated human movement.
- Previous work focused on oscillators with identical eigenfrequencies.
- Time series decomposition into amplitude and phase presents challenges.
Purpose of the Study:
- Investigate coupled nonlinear oscillators with differing eigenfrequencies.
- Address and resolve issues in time series decomposition for amplitude and phase.
- Develop a method for direct comparison between theoretical models and experimental data.
Main Methods:
- Analysis of coupled nonlinear oscillator dynamics.
- Examination of time series decomposition techniques.
- Derivation of an explicit equation for relative phase dynamics.
Main Results:
- Identified spurious oscillations in phase and amplitude due to coordinate system choice.
- Developed a method to eliminate these artificial oscillations.
- Derived a phase space equation for relative phase dynamics.
Conclusions:
- The derived equation facilitates direct comparison between theory and experiment.
- Accurate phase dynamics analysis is crucial for understanding coordinated movement.
- This work provides a refined framework for modeling human movement dynamics.