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

Forced Oscillations01:06

Forced Oscillations

6.6K
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.
6.6K
Torsional Pendulum01:09

Torsional Pendulum

5.7K
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...
5.7K
Simple Pendulum01:10

Simple Pendulum

4.8K
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...
4.8K
Physical Pendulum01:06

Physical Pendulum

1.8K
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...
1.8K
Damped Oscillations01:07

Damped Oscillations

5.8K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
5.8K
Types of Damping01:20

Types of Damping

6.5K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
6.5K

You might also read

Related Articles

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

Sort by
Same author

Ordinal pattern of brain electrical activity as a marker of stroke-induced alterations in motor imagery task.

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

Emergent dynamics in heterogeneous pulsatile swarmalators.

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

Controlling extreme events in neuronal networks: A single driving signal approach.

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

Imitation-based evolutionary dynamics of behavioral decisions between health-conscious and health-unconscious strategies.

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

Forecasting precipitation in the Arctic using probabilistic machine learning informed by causal climate drivers.

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

Control of chimera states via adaptive higher-order interactions.

Chaos (Woodbury, N.Y.)·2025

Related Experiment Video

Updated: Jul 26, 2025

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

12.4K

Extreme rotational events in a forced-damped nonlinear pendulum.

Tapas Kumar Pal1, Arnob Ray1, Sayantan Nag Chowdhury2

  • 1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India.

Chaos (Woodbury, N.Y.)
|June 12, 2023
PubMed
Summary

Researchers studied a forced-damped pendulum, finding specific lengths where extreme rotational events occur. These events, characterized by exponential return intervals, are linked to chaotic dynamics and phase slips in the pendulum

More Related Videos

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
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

1.1K

Related Experiment Videos

Last Updated: Jul 26, 2025

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

12.4K
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
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

1.1K

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Mathematical Modeling

Background:

  • The pendulum is a fundamental system for studying oscillatory dynamics, bifurcations, and chaos.
  • Understanding pendulum behavior is crucial for various physical phenomena reducible to its equations.

Purpose of the Study:

  • To investigate the rotational dynamics of a two-dimensional forced-damped pendulum under AC and DC torque.
  • To identify conditions leading to intermittent extreme rotational events and analyze their statistical properties.

Main Methods:

  • Numerical simulations of the forced-damped pendulum equations.
  • Analysis of angular velocity, return intervals, chaotic attractors, and phase slips.
  • Investigation across a range of pendulum lengths and torque parameters.

Main Results:

  • A specific pendulum length range was identified exhibiting intermittent extreme rotational events.
  • Return intervals between extreme events follow an exponential distribution.
  • Sudden increase in chaotic attractor size due to interior crisis triggers large amplitude events.
  • Phase slips occur concurrently with extreme rotational events.

Conclusions:

  • The study reveals unique rotational behaviors in forced-damped pendulums, including extreme events and phase slips.
  • Chaotic dynamics, particularly interior crisis, are key drivers of instability and extreme events.
  • Pendulum length and torque parameters critically influence the system's dynamics and the occurrence of these phenomena.