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

Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

7.9K
Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
7.9K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.3K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.3K
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
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.1K
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...
1.1K
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

5.5K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
5.5K
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

1.1K
An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
1.1K

You might also read

Related Articles

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

Sort by
Same author

Nonlinear dynamics of reservoir computing: Theory, realization, and application.

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

Confabulation dynamics in a reservoir computer: Filling in the gaps with untrained attractors.

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

Mean-field approximation for networks with synchrony-driven adaptive coupling.

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

Synchronization cluster bursting in adaptive oscillator networks.

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

Publisher's Note: "Transitional cluster dynamics in a model for delay-coupled chemical oscillators" [Chaos 33, 063133 (2023)].

Chaos (Woodbury, N.Y.)·2023
Same author

Seeing double with a multifunctional reservoir computer.

Chaos (Woodbury, N.Y.)·2023
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

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

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

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

Exploring mechanisms for reversal of flow in tunicate hearts.

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

State estimation in spatiotemporal chaos via low-rank StatFEM.

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

Universal response functions in driven dissipative tunneling dynamics.

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

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

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

Related Experiment Video

Updated: Jul 26, 2025

Reconstitution of Cell-cycle Oscillations in Microemulsions of Cell-free Xenopus Egg Extracts
06:31

Reconstitution of Cell-cycle Oscillations in Microemulsions of Cell-free Xenopus Egg Extracts

Published on: September 27, 2018

8.2K

Transitional cluster dynamics in a model for delay-coupled chemical oscillators.

Andrew Keane1,2, Alannah Neff1, Karen Blaha3

  • 1School of Mathematical Sciences, University College Cork, Cork T12 XF62, Ireland.

Chaos (Woodbury, N.Y.)
|June 12, 2023
PubMed
Summary
This summary is machine-generated.

This study reveals how secondary clustering patterns in delay-coupled electrochemical oscillators emerge and transition between primary states. Bifurcation analysis explains the stability of these complex synchronization patterns.

More Related Videos

Dynamic Electrochemical Measurement of Chloride Ions
07:32

Dynamic Electrochemical Measurement of Chloride Ions

Published on: February 5, 2016

11.5K
Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals
10:35

Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals

Published on: May 29, 2018

8.8K

Related Experiment Videos

Last Updated: Jul 26, 2025

Reconstitution of Cell-cycle Oscillations in Microemulsions of Cell-free Xenopus Egg Extracts
06:31

Reconstitution of Cell-cycle Oscillations in Microemulsions of Cell-free Xenopus Egg Extracts

Published on: September 27, 2018

8.2K
Dynamic Electrochemical Measurement of Chloride Ions
07:32

Dynamic Electrochemical Measurement of Chloride Ions

Published on: February 5, 2016

11.5K
Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals
10:35

Novel Techniques for Observing Structural Dynamics of Photoresponsive Liquid Crystals

Published on: May 29, 2018

8.8K

Area of Science:

  • Nonlinear Dynamics
  • Chemical Oscillations
  • Complex Systems

Background:

  • Cluster synchronization is key in coupled oscillator systems.
  • Electrochemical oscillators exhibit primary and secondary clustering patterns.
  • Previous models linked coupling delay to cluster state stability.

Purpose of the Study:

  • Investigate emergent clustering patterns in a unidirectional ring of four delay-coupled electrochemical oscillators.
  • Address open questions regarding cluster state stability and transitions using bifurcation analysis.
  • Explore the role of voltage and coupling delay in controlling synchronization dynamics.

Main Methods:

  • Experimental investigation of electrochemical oscillators with varying voltage.
  • Mathematical modeling of the oscillator system.
  • Bifurcation analysis of the mathematical model to study stability and transitions.

Main Results:

  • Identified primary clustering states with uniform phase differences.
  • Detected secondary states with differing phase differences at higher voltages.
  • Bifurcation analysis revealed how stable cluster states lose stability.
  • Uncovered complex interconnections between primary and secondary cluster states.
  • Secondary states act as continuous transitions between primary states.

Conclusions:

  • The voltage parameter critically influences the emergence and stability of clustering patterns.
  • Secondary states are only stable at higher voltages, remaining hidden at lower voltages.
  • Bifurcation analysis provides a comprehensive understanding of the complex dynamics and stability of synchronization in this system.