Related Experiment Video
Updated: Jan 25, 2026

A Microfluidics Approach for the Functional Investigation of Signaling Oscillations Governing Somitogenesis
Published on: March 19, 2021
Noise-induced chaos and signal detection by the nonisochronous Hopf oscillator
Justin Faber1, Dolores Bozovic1
1Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.
Abstract:
The Hopf oscillator has been shown to capture many phenomena of the auditory and vestibular systems. These systems exhibit remarkable temporal resolution and sensitivity to weak signals, as they are able to detect sounds that induce motion in the angstrom regime. In the present work, we find the analytic response function of a nonisochronous Hopf oscillator to a step stimulus and show that the system is most sensitive in the regime where noise induces chaotic dynamics. We show that this regime also provides a faster response and enhanced temporal resolution. Thus, the system can detect a very brief, low-amplitude pulse. Finally, we subject the oscillator to periodic delta-function forcing, mimicking a spike train, and find the exact analytic expressions for the stroboscopic maps. Using these maps, we find a period-doubling cascade to chaos with increasing force strength.
More Related Videos
09:35Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG
Published on: March 10, 2017
10:22Interictal High Frequency Oscillations Detected with Simultaneous Magnetoencephalography and Electroencephalography as Biomarker of Pediatric Epilepsy
Published on: December 6, 2016
Related Concept Videos
Oscillations In An LC Circuit
Forced Oscillations
Bacterial Signaling
Damped Oscillations
Although friction and other non-conservative...
Oscillations about an Equilibrium Position
What is Cell Signaling?