Finding the dimension of slow dynamics in a rhythmic system
Related Experiment Video
Updated: May 29, 2026

Uncovering Beat Deafness: Detecting Rhythm Disorders with Synchronized Finger Tapping and Perceptual Timing Tasks
Published on: March 16, 2015
Shai Revzen1, John M Guckenheimer
1Department of Integrative Biology, University of California, Berkeley, CA 94720, USA. shrevzen@umich.edu
Abstract:
Dynamical systems with asymptotically stable periodic orbits are generic models for rhythmic processes in dissipative physical systems. This paper presents a method for reconstructing the dynamics near a periodic orbit from multivariate time-series data. It is used to test theories about the control of legged locomotion, a context in which time series are short when compared with previous work in nonlinear time-series analysis. The method presented here identifies appropriate dimensions of reduced order models for the deterministic portion of the dynamics. The paper also addresses challenges inherent in identifying dynamical models with data from different individuals.
Related Concept Videos
Problem Solving: Dimensional Analysis
Dimensional Analysis
Dimensional analysis allows us to analyze and compare physical quantities on a...
Dimensional Analysis
Dimensional Analysis
In fluid mechanics, dimensional...
Dimensional Analysis
Conversion Factors and Dimensional Analysis
The unit...
Second Order systems II
If ζ...

