Related Experiment Video
Updated: Jun 28, 2026
06:25
Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
Published on: February 13, 2014
Hyperedge overlap modulates synchronization transitions in higher-order Sakaguchi-Kuramoto model
Xueqin Wang1, Xuening Li1, Zhiqiu Ye1
1Central China Normal University, Department of Physics and Institute of Biophysics, Wuhan 430079, China.
Physical Review. E
|February 20, 2026
Summary
This study reveals how phase lag and hyperedge overlap influence synchronization in complex networks. Increased phase lag and overlap shift synchronization order and decrease global synchronization levels.
Area of Science:
- Complex Systems
- Network Science
- Synchronization Theory
Background:
- Synchronization in coupled systems is well-researched.
- The interplay between microstructure and phase lag in synchronization remains underexplored.
Purpose of the Study:
- To investigate the synergistic effects of microstructure (hyperedge overlap) and phase lag on synchronization phenomena.
- To analyze how these factors influence synchronization order and performance in higher-order networks.
Main Methods:
- Introduction of hyperedge overlap to quantify 2-hyperedge overlap.
- Analysis of hypergraph structures incorporating phase lag.
- Examination of synchronization phase transitions and global/local synchronization levels.
Main Results:
- Increasing phase lag and hyperedge overlap induces a first-order to second-order synchronization phase transition.
- Both factors reduce global synchronization independently of network size.
- Smaller hyperedge overlap enhances local synchronization under weak global synchronization conditions.
- Phase lag alters the system's effective frequency distribution, with coupling strength affecting deviation from the average frequency.
Conclusions:
- Hyperedge overlap and phase lag are critical determinants of synchronization behavior in higher-order networks.
- These parameters offer a means to tune synchronization from global to local performance.
- The findings provide new insights into the dynamics of complex synchronized systems.
More Related Videos
Related Concept Videos
02:07Improving Translational Accuracy
Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
02:07Improving Translational Accuracy
Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
01:24One-Degree-of-Freedom System
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
01:22Upsampling
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
01:30Simplified Synchronous Machine Model
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
01:12Differential Leveling
Differential leveling is a precise method in surveying used to determine the elevation difference between two points. Its primary goal is to establish accurate vertical measurements to create level surfaces or grade lines critical for designing and constructing infrastructures such as roads, bridges, and buildings.The procedure for differential leveling begins with setting up and leveling the instrument at a point where the benchmark can be seen. The level rod is held on the benchmark (BM), and...