Related Experiment Video
Updated: Jun 10, 2026

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
Published on: September 21, 2017
Oscillating in synchrony with a metronome: serial dependence, limit cycle dynamics, and modeling
Kjerstin Torre1, Ramesh Balasubramaniam, Didier Delignières
1Sensorimotor Neuroscience Laboratory, MacMaster University, Canada.
Abstract:
We analyzed serial dependencies in periods and asynchronies collected during oscillations performed in synchrony with a metronome. Results showed that asynchronies contain 1/f fluctuations, and the series of periods contain antipersistent dependence. The analysis of the phase portrait revealed a specific asymmetry induced by synchronization. We propose a hybrid limit cycle model including a cycle-dependent stiffness parameter provided with fractal properties, and a parametric driving function based on velocity. This model accounts for most experimentally evidenced statistical features, including serial dependence and limit cycle dynamics. We discuss the results and modeling choices within the framework of event-based and emergent timing.
More Related Videos
Related Concept Videos
Forced Oscillations
Damped Oscillations
Although friction and other non-conservative...
Oscillations about an Equilibrium Position
Limits with Oscillating Discontinuities
Simple Harmonic Motion
Oscillations In An LC Circuit

