Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Forced Oscillations

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.

Wave Parameters

Wave Parameters

The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...

Effective Value of a Periodic Waveform

Effective Value of a Periodic Waveform

The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...

Beats

Beats

The study of music provides many examples of the superposition of waves and the constructive and destructive interference that occurs. Very few examples of music being performed consist of a single source playing a single frequency for an extended period of time. A single frequency of sound for an extended period might be monotonous to the point of irritation, similar to the unwanted drone of an aircraft engine or a loud fan. Music is pleasant and exciting due to mixing the changing frequencies...

Equations of Wave Motion

Equations of Wave Motion

Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.

Simple Harmonic Motion

Simple Harmonic Motion

Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

A phenomenological multiscale framework for orientational interactions and viscoelasticity in migrating epithelial monolayers.

Bio Systems·2026

Same author

Cardiorespiratory Dynamics as a Non-Autonomous System of Coupled Oscillators with Time-Varying Frequency Modulation.

Entropy (Basel, Switzerland)·2026

Same author

Irregular curvature at focal adhesions modulates Piezo1 activity and low-frequency ultrasound-induced apoptosis in cancer cells.

Physics of life reviews·2026

Same author

Marangoni-driven redistribution and activity of Piezo1 molecules in epithelial and cancer cells.

Advances in colloid and interface science·2026

Same author

Modelling brain metabolism with interacting nonautonomous phase oscillators.

Frontiers in network physiology·2026

Same author

Anisotropy and shear stress accumulation during collective migration of epithelial cells.

European biophysics journal : EBJ·2026

Search research articles

Related Experiment Video

Updated: Jul 10, 2026

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

Wavelet bispectral analysis for the study of interactions among oscillators whose basic frequencies are significantly

Janez Jamsek¹, Aneta Stefanovska, Peter V E McClintock

¹Group of Nonlinear Dynamics and Synergetics, Faculty of Electrical Engineering, University of Ljubljana, Trzaska 25, 1000 Ljubljana, Slovenia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 13, 2007

Summary

This study introduces wavelet-based bispectral analysis for understanding coupled nonlinear oscillators. The new method reveals time-varying phase relationships, outperforming traditional Fourier analysis.

More Related Videos

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Published on: March 10, 2017

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Related Experiment Videos

Last Updated: Jul 10, 2026

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Automatic Detection of Highly Organized Theta Oscillations in the Murine EEG

Published on: March 10, 2017

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Area of Science:

Nonlinear Dynamics
Signal Processing
Complex Systems

Background:

Bispectral analysis reveals time-phase relationships.
Traditional Fourier analysis has limitations with time-varying frequencies.

Purpose of the Study:

Extend bispectral analysis using wavelets.
Analyze instantaneous phase-time dependence in coupled nonlinear oscillators.

Main Methods:

Developed a wavelet-based bispectral analysis technique.
Applied the method to test signals from coupled Poincaré oscillators.

Main Results:

Successfully demonstrated the wavelet bispectral analysis.
Showcased its ability to capture instantaneous phase-time dependence.

Conclusions:

Wavelet bispectral analysis is a powerful tool for studying interacting oscillators.
Applicable to systems with time-variable frequencies across various scientific fields.