Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Oscillations In An LC Circuit

Oscillations In An LC Circuit

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

Phase Transitions

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...

Phase-lead and Phase-lag Controllers

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...

Time and frequency -Domain Interpretation of Phase-lag Control

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...

Time and frequency -Domain Interpretation of Phase-lead Control

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...

Damped Oscillations

Damped Oscillations

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...

You might also read

Related Articles

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

Sort by

Same author

Orientation-Modulated Hyperuniformity in Frustrated Vicsek-Kuramoto Systems.

Entropy (Basel, Switzerland)·2026

Same author

Extensive multistability and scalings in coupled phase oscillators with pairwise or non-pairwise interactions.

Chaos (Woodbury, N.Y.)·2025

Same author

Short-term plasticity promotes synchronization of coupled chaotic oscillators in excitatory-inhibitory networks.

Chaos (Woodbury, N.Y.)·2025

Same author

Collective dynamics of swarmalators driven by a mobile pacemaker.

Chaos (Woodbury, N.Y.)·2024

Same author

Emergence of chimeralike oscillation modes in excitable complex networks with preferentially cutting-rewiring operation.

Chaos (Woodbury, N.Y.)·2024

Same author

Order parameter dynamics in complex systems: From models to data.

Chaos (Woodbury, N.Y.)·2024

Search research articles

Related Experiment Video

Updated: Jun 24, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Synchronization transitions in phase oscillator populations with partial adaptive coupling.

Zhenyu Chen¹, Zhigang Zheng², Can Xu²

¹School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China.

Chaos (Woodbury, N.Y.)

|June 3, 2024

Summary

This study reveals how adaptation in coupled oscillators influences synchronization. Nonzero adaptation drives explosive or continuous transitions, depending on system correlations, offering new control mechanisms for networked systems.

More Related Videos

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

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

Published on: May 30, 2014

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Published on: June 9, 2023

Related Experiment Videos

Last Updated: Jun 24, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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

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

Published on: May 30, 2014

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Author Spotlight: Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons

Published on: June 9, 2023

Area of Science:

Complex Systems
Nonlinear Dynamics
Statistical Physics

Background:

Adaptation is crucial for collective dynamics in many systems.
Synchronization transitions are fundamental to networked systems.
Understanding adaptive mechanisms is key to controlling system behavior.

Purpose of the Study:

To investigate the conditions for synchronization transitions in adaptive coupled phase oscillators.
To analyze the role of feedback between coupling and order parameter.
To explore how adaptation influences the nature of phase transitions.

Main Methods:

Mathematical analysis of coupled phase oscillators with adaptive feedback.
Investigation of power-law functions relating coupling and order parameter.
Examination of subcritical and supercritical correlation scenarios.

Main Results:

No critical adaptive fraction is needed for first- to second-order or vice-versa transitions.
Nonzero adaptation leads to explosive or continuous phase transitions.
Synchronization routes depend on relative adaptive weights and scaling behaviors near criticality.

Conclusions:

Adaptation significantly alters synchronization transitions in coupled oscillator systems.
The findings provide insights into the dynamical nature of phase transitions.
This work aids in controlling and manipulating synchronization in adaptive networks.