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

7.5K
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.
7.5K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.9K
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
2.9K
Transient and Steady-state Response01:24

Transient and Steady-state Response

474
In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
474
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

6.5K
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...
6.5K
Damped Oscillations01:07

Damped Oscillations

6.7K
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...
6.7K
Types of Damping01:20

Types of Damping

7.4K
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...
7.4K

You might also read

Related Articles

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

Sort by
Same author

Supertransient Chaos in a Single and Coupled Liénard Systems.

Entropy (Basel, Switzerland)·2024
Same author

Chimera states for directed networks.

Chaos (Woodbury, N.Y.)·2021
Same author

Ordered slow and fast dynamics of unsynchronized coupled phase oscillators.

Chaos (Woodbury, N.Y.)·2021
Same author

Neuron-like spiking and bursting in Josephson junctions: A review.

Chaos (Woodbury, N.Y.)·2021
Same author

Experimental chaotic synchronization for coupled double pendula.

Chaos (Woodbury, N.Y.)·2021
Same author

Multi-headed loop chimera states in coupled oscillators.

Chaos (Woodbury, N.Y.)·2021

Related Experiment Video

Updated: Dec 29, 2025

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
11:45

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

15.1K

Transient chimera-like states for forced oscillators.

Dawid Dudkowski1, Jerzy Wojewoda1, Krzysztof Czołczyński1

  • 1Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.

Chaos (Woodbury, N.Y.)
|February 5, 2020
PubMed
Summary

Transient chimeralike states emerge in networks of identical oscillators when a single node displays chaotic behavior. This phenomenon, observed in mechanical systems, offers insights into complex network dynamics.

More Related Videos

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
07:33

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice

Published on: June 29, 2018

12.2K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.9K

Related Experiment Videos

Last Updated: Dec 29, 2025

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
11:45

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

15.1K
Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
07:33

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice

Published on: June 29, 2018

12.2K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.9K

Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Chimera states, characterized by coexisting synchronous and incoherent behaviors in identical oscillator networks, are a widely studied phenomenon.
  • These states arise despite homogeneous coupling, presenting a counterintuitive dynamic in network science.
  • Understanding chimera states is crucial for various fields, including neuroscience and engineering.

Purpose of the Study:

  • To investigate the emergence of chimera states in a star network topology.
  • To explore the impact of transient chaotic behavior in a single node on the network's overall dynamics.
  • To demonstrate the experimental observability of transient chimeralike states in a physical system.

Main Methods:

  • Theoretical analysis of a star network model with N peripheral nodes connected to a central hub.
  • Introduction of transient chaotic behavior in a single node to observe its effect on the network.
  • Experimental validation using a system of N double pendula on a periodically oscillating platform.

Main Results:

  • A transient chimeralike state is generated when a single node exhibits transient chaotic behavior.
  • This chimeralike state persists for a significant duration within the network.
  • The phenomenon was successfully observed in a physical experiment with mechanical oscillators.

Conclusions:

  • Transient chimeralike states can be reliably created in star networks by inducing transient chaos in a single node.
  • The findings suggest that such states are not limited to theoretical models but are observable in real-world mechanical systems.
  • This research broadens the understanding of chimera states and their potential occurrence in diverse networked systems.