Related Experiment Video
Updated: Feb 6, 2026
07:57
Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation
Published on: August 21, 2019
9.2K
Pinning Synchronization of Multiplex Delayed Networks With Stochastic Perturbations
IEEE Transactions on Cybernetics
|August 22, 2018
Summary
Researchers explored pinning control for multiplex networks with delays and noise. They found specific nodes can be targeted for synchronization, with control influenced by noise, delay, and coupling strength.
Area of Science:
- Complex Networks
- Control Theory
- Nonlinear Dynamics
- Stochastic Systems
Background:
- Monoplex networks have limitations in representing real-world systems.
- Multiplex networks, with multiple layers and interactions, offer a more realistic framework.
- Synchronization in complex networks is crucial for understanding collective behavior.
Purpose of the Study:
- To investigate the synchronization of multiplex networks under multiple time delays and stochastic perturbations.
- To develop pinning control strategies for achieving synchronization in complex multiplex networks.
- To determine the optimal nodes for pinning control and analyze the influence of network parameters.
Main Methods:
- Application of LaSalle-type invariance principle for stochastic differential delay equations.
- Utilizing Lyapunov stability theory to derive control schemes and synchronization criteria.
- Validation through simulations on two-layer and three-layer multiplex network models.
Main Results:
- Effective control schemes and synchronization criteria were established for multiplex networks.
- Identification of specific nodes that, when pinned, can induce network synchronization under mild conditions.
- Quantification of the impact of noise, time delay, and intralayer coupling strength on the number of pinned nodes.
Conclusions:
- Pinning control is a viable strategy for synchronizing complex multiplex networks with delays and noise.
- The number of nodes requiring pinning control is sensitive to system parameters like noise intensity, time delay, and coupling strength.
- The proposed methods provide a robust framework for controlling synchronization in multilayered complex systems.
Related Concept Videos
01:21Euler's Formula for Pin-Ended Columns
745
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load, envision...
To calculate the critical load, envision...
745
02:26Protein Networks
4.6K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.6K
02:26Protein Networks
2.9K
2.9K
02:18Network Covalent Solids
16.2K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.2K
01:30Simplified Synchronous Machine Model
789
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...
789
01:21Three-Phase Short Circuit—Unloaded Synchronous Machine
717
Conducting a three-phase short circuit test on an unloaded synchronous machine helps understand its impact on the system. The AC fault current's oscillogram, with the DC offset removed, reveals that the waveform amplitude decreases from an initially high value to a steady-state level for one phase of the machine.
This behavior occurs due to the magnetic flux produced by the short-circuit armature currents. Initially, these currents follow high-reluctance paths but eventually shift to...
This behavior occurs due to the magnetic flux produced by the short-circuit armature currents. Initially, these currents follow high-reluctance paths but eventually shift to...
717