Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Simple Pendulum01:10

Simple Pendulum

5.0K
A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily life, pendulums have many uses, such as in clocks, on a swing set, and on a sinker on a fishing line. 
The period of a simple pendulum depends on two factors: its length and the acceleration due to gravity. The period is completely independent of any other factors, such as mass or maximum displacement. For small displacements, a pendulum...
5.0K
Physical Pendulum01:06

Physical Pendulum

1.9K
When a rigid body is hanging freely from a fixed pivot point and is displaced, it oscillates similar to a simple pendulum and is known as a physical pendulum. The period and angular frequency of a physical pendulum are obtained by using the small-angle approximation and drawing parallels with a spring-mass system. The small-angle approximation (sinθ=θ) is valid up to about 14°.
When dealing with complicated systems, the mass moment of inertia is an important parameter, as it...
1.9K
Forced Oscillations01:06

Forced Oscillations

6.8K
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.
6.8K
Torsional Pendulum01:09

Torsional Pendulum

5.9K
A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played...
5.9K
Frequency of Spring-Mass System01:17

Frequency of Spring-Mass System

6.0K
One interesting characteristic of the simple harmonic motion (SHM) of an object attached to a spring is that the angular frequency, and the period and frequency of the motion, depend only on the mass and the force constant of the spring, and not on other factors such as the amplitude of the motion or initial conditions. We can use the equations of motion and Newton's second law to find the angular frequency, frequency, and period.
Consider a block on a spring on a frictionless surface. There...
6.0K
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

5.2K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
5.2K

You might also read

Related Articles

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

Sort by
Same author

Ordinal patterns for characterization of transition to extreme events.

Chaos (Woodbury, N.Y.)·2026
Same author

Stochastic bifurcation and safety basin study of nonlinear vibration systems in Li-doped graphene nanoplates with time delays.

Chaos (Woodbury, N.Y.)·2025
Same author

Hopf-like bifurcations and multistability in a class of 3D Filippov systems with generalized Liénard's form.

Chaos (Woodbury, N.Y.)·2024
Same author

Complexity measure of extreme events.

Chaos (Woodbury, N.Y.)·2024
Same author

Unfolding the distribution of periodicity regions and diversity of chaotic attractors in the Chialvo neuron map.

Chaos (Woodbury, N.Y.)·2024
Same author

Extreme events and extreme multistability in a nearly conservative system.

Chaos (Woodbury, N.Y.)·2024
Same journal

Gap junction architecture and synchronization clusters in the thalamic reticular nuclei.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exact computation of Lyapunov exponents via system parameters in multi-triangle chaotic maps: Bifurcation analysis and circuit realization.

Chaos (Woodbury, N.Y.)·2026
Same journal

Integrating score-based generative modeling and neural ODEs for accurate representation of multiscale chaotic dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A data-driven tuberculosis model with behavioral changes and saturated treatment: Optimal control and cost-effectiveness study.

Chaos (Woodbury, N.Y.)·2026
Same journal

Breathers, rational solutions, and their exact physical spectra in F = 1 spinor Bose-Einstein condensates.

Chaos (Woodbury, N.Y.)·2026
Same journal

Finite invariant sets with bridging points in logistic IFS.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Sep 15, 2025

Author Spotlight: Enhancing Engineering Education via WebVR-Based Online Laboratories
04:15

Author Spotlight: Enhancing Engineering Education via WebVR-Based Online Laboratories

Published on: February 23, 2024

1.2K

Synchronization of spring pendula.

Dawid Dudkowski1, Tomasz Kapitaniak1

  • 1Department of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-537 Lodz, Poland.

Chaos (Woodbury, N.Y.)
|July 18, 2025
PubMed
Summary
This summary is machine-generated.

This study reveals how coupled spring pendula synchronize, detailing conditions for synchronous states and exploring their coexistence with desynchronization. Findings advance understanding of mechanical oscillator synchronization and complex dynamics.

More Related Videos

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
05:04

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

Published on: September 21, 2017

6.1K
Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
10:52

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior

Published on: April 13, 2016

8.9K

Related Experiment Videos

Last Updated: Sep 15, 2025

Author Spotlight: Enhancing Engineering Education via WebVR-Based Online Laboratories
04:15

Author Spotlight: Enhancing Engineering Education via WebVR-Based Online Laboratories

Published on: February 23, 2024

1.2K
Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
05:04

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

Published on: September 21, 2017

6.1K
Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
10:52

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior

Published on: April 13, 2016

8.9K

Area of Science:

  • Mechanical Engineering
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Coupled oscillators exhibit complex behaviors, including synchronization, which is crucial in various physical and biological systems.
  • Understanding synchronization in systems with elastic elements and damping is essential for designing stable and predictable mechanical systems.

Purpose of the Study:

  • To investigate the synchronization phenomenon in coupled spring pendula with varying lengths.
  • To determine the regions of synchronous states and analyze coexistence scenarios with other dynamical behaviors.
  • To examine the influence of elastic element characteristics and damping on synchronous configurations.

Main Methods:

  • Modeling two self-excited nodes with elastic elements suspended on a horizontally oscillating support.
  • Analyzing the regions of appearance of synchronous states and co-existing behaviors.
  • Presenting and explaining typical solutions to illustrate pendula and spring oscillation relationships.
  • Investigating properties of synchronous configurations, including damping effects.

Main Results:

  • Identified regions for the appearance of synchronous states in coupled spring pendula.
  • Described coexistence scenarios between different dynamical behaviors, including synchronization and desynchronization.
  • Demonstrated the influence of elastic element properties and damping on system synchronization.
  • Showcased that coherent dynamics and desynchronization can coexist.

Conclusions:

  • Uncovered novel mechanisms for synchronization in mechanical oscillators.
  • Contributed to a deeper understanding of complex dynamical systems.
  • Provided insights into the behavior of coupled spring pendula under varying conditions.