Related Experiment Videos
Hypernetworks induce stable hyperlocking
Eddie Nijholt1, Tiago Pereira2,3, Matthias Wolfrum4
1Institute of Mathematical Sciences and Computation, University of São Paulo, São Paulo, Brazil.
Nature Communications
|June 24, 2026
Summary
Hypernetworks, which involve group interactions, exhibit unique synchronization. A triadic hypernetwork motif can stably lock phases in three oscillators, a phenomenon not seen with pairwise coupling.
Area of Science:
- Complex systems
- Network science
- Nonlinear dynamics
Background:
- Hypernetworks model interactions beyond pairs, crucial for systems like the brain and climate.
- Synchronization is a key phenomenon in coupled systems, but its behavior in hypernetworks is less understood.
Purpose of the Study:
- To investigate a novel synchronization phenomenon unique to hypernetworks.
- To identify and analytically describe a new synchronization mechanism in higher-order interactions.
Main Methods:
- Utilized normal form transformations and phase reduction for analytical derivation.
- Employed numerical simulations and chemical experiments for validation.
Main Results:
- Discovered that a triadic hypernetwork motif can induce stable phase triplet locking in three coupled oscillators.
- Observed that pairwise coupling does not result in the same stable phase locking.
- Analytical derivation confirmed the mechanism behind this 'hyperlocking' phenomenon.
Conclusions:
- Uncovered a new synchronization mechanism inherent to higher-order interactions in hypernetworks.
- Demonstrated the potential for controlling complex dynamics using hypernetwork structures.
- Opened new avenues for research beyond traditional pairwise interaction models.
Related Concept Videos
01:19Distributed Loads
Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
01:25Multimachine Stability
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
01:21Distributed Loads: Problem Solving
Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
01:23Relation Between the Distributed Load and Shear
Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.
01:24Cable Subjected to a Distributed Load
The analysis of suspension bridges is a complex and critical process that involves multiple factors, including the shape and tension of the main cables. The main cables of suspension bridges are subjected to distributed loads, which result in changes in tensile forces and deformation of the cable. These loads must be carefully considered to ensure that the bridge is safe and capable of supporting the weight of different loads.
01:15Stress: General Loading Conditions
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes.