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

6.3K
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.
6.3K
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

5.4K
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...
5.4K
Damped Oscillations01:07

Damped Oscillations

6.2K
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...
6.2K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.3K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.3K
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

822
Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
822
Types of Damping01:20

Types of Damping

6.6K
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...
6.6K

You might also read

Related Articles

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

Sort by
Same author

Higher-order interactions induce anomalous transitions to synchrony.

Chaos (Woodbury, N.Y.)·2024
See all related articles

Related Experiment Video

Updated: May 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K

Frequency synchronization facilitated by frequency differences: Dynamics of coupled-oscillator systems with damaged

Shota Inagawa1, Hiroki Hata1, Shigefumi Hata1

  • 1Department of Science, Kagoshima University, Kagoshima, Japan.

Chaos (Woodbury, N.Y.)
|May 6, 2026
PubMed
Summary

Damaged oscillators can unexpectedly restore frequency synchronization in coupled systems. Increasing frequency differences, typically causing desynchronization, can surprisingly re-establish synchronized oscillations in these complex systems.

More Related Videos

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

11.7K

Related Experiment Videos

Last Updated: May 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K
Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
Fabrication and Testing of Microfluidic Optomechanical Oscillators
09:10

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

11.7K

Area of Science:

  • Complex Systems Science
  • Nonlinear Dynamics
  • Physics of Oscillations

Background:

  • Coupled oscillator systems are fundamental in understanding emergent phenomena.
  • Damaged or malfunctioning elements can significantly alter system dynamics.
  • Frequency synchronization is a key characteristic of coupled limit-cycle oscillators.

Purpose of the Study:

  • To investigate the impact of damaged oscillators on synchronization dynamics.
  • To explore the phenomenon of reentrant frequency synchronization in mixed oscillator systems.
  • To develop a theoretical framework for predicting synchronization stability.

Main Methods:

  • Modeling damaged oscillators as damped systems within a coupled network.
  • Conducting numerical simulations using coupled Stuart-Landau oscillators.
  • Employing linear stability analysis of fixed points to reveal Hopf modes.

Main Results:

  • Increased frequency differences initially destroy synchronization, but can re-establish it in systems with damped oscillators.
  • Observed reentrant frequency synchronization phenomenon in numerical simulations.
  • Developed an approximate theory predicting synchronization stability, identifying critical Hopf modes.

Conclusions:

  • Damaged oscillators can induce novel synchronization behaviors, including reentrance.
  • The findings suggest that increasing frequency differences can facilitate synchronization under specific conditions.
  • The developed theory is applicable to a broad range of coupled oscillator systems with damaged components.