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Chaotic frequency scaling in a coupled oscillator model for free rhythmic actions
Aaron Raftery1, Joseph Cusumano, Dagmar Sternad
1Department of Kinesiology, Pennsylvania State University, University Park, PA 16802, USA. araftery@psu.edu
Neural Computation
|November 30, 2007
Summary
This study models rhythmic movements using a coupled oscillator system, revealing that preferred human movement frequencies match biomechanical system resonance frequencies. The model demonstrates frequency scaling even with chaotic dynamics, explaining movement variability.
Area of Science:
- Biomechanics
- Dynamical Systems Theory
- Human Motor Control
Background:
- Modeling rhythmic movements and their variability is a persistent challenge.
- Human preferred movement frequencies align with biomechanical resonance frequencies (frequency scaling).
Purpose of the Study:
- To analyze a coupled oscillator system for modeling rhythmic movements.
- To investigate the system's dynamics and its ability to explain frequency scaling.
- To explore the implications of chaotic dynamics for movement variability.
Main Methods:
- Systematic analysis of a coupled oscillator model.
- Numerical integration across the parameter space.
- Exploration of period-doubling routes to chaos.
Main Results:
- The coupled oscillator model successfully replicates frequency scaling.
- A period-doubling route to chaotic dynamics was identified.
- The model exhibits frequency scaling even within chaotic regions, demonstrating chaotic variability.
Conclusions:
- The coupled oscillator model provides a framework for understanding rhythmic movement and frequency scaling.
- Chaotic dynamics can coexist with frequency scaling, offering an alternative to stochastic explanations for movement variability.
- This work has implications for interpreting the nature of biological variability.
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