Cluster synchronization for controlled nodes via the dynamics of edges in complex dynamical networks
Lizhi Liu1, Cao Chen2, Zilin Gao2,3
1School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, Hunan, China.
Plos One
|August 3, 2023
Summary
This study introduces a new model for complex dynamical networks (CDNs) with dynamic edges to achieve node clustering. The research explores the link between network structure and function, enabling cluster synchronization.
Area of Science:
- Complex Systems Science
- Network Dynamics
- Control Theory
Background:
- Existing literature lacks in-depth research on coupling mechanisms in complex dynamical networks (CDNs).
- Understanding the relationship between network structure and function is crucial for network behavior.
- Dynamic coupling between nodes and edges influences emergent network functions.
Purpose of the Study:
- To investigate the coupling auxiliary mechanism of dynamic edges for node cluster phenomenon emergence in CDNs.
- To explore the essential relationship between structure and function in complex dynamical networks.
- To propose a novel model for CDNs with dynamic systems on both nodes and edges.
Main Methods:
- Proposed a novel complex dynamical network model with dynamic systems on nodes and edges.
- Synthesized a feedback nodes controller integrated with linear and adaptive edge dynamics.
- Utilized dynamic edge behaviors to achieve controlled node cluster synchronization.
Main Results:
- Demonstrated that appropriate dynamic edge behaviors can lead to cluster synchronization of controlled nodes.
- Validated the proposed model and control approach through a numerical example.
- Established a link between dynamic edge control and emergent cluster phenomena in networks.
Conclusions:
- The proposed model and control strategy effectively achieve cluster synchronization in complex dynamical networks.
- Dynamic edge control is a viable mechanism for promoting desired network functions, specifically clustering.
- This work advances the understanding of structure-function relationships in large-scale dynamical systems.
Related Concept Videos
01:19Cyclic Processes And Isolated Systems
2.8K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.8K
01:24Sequence Networks of Rotating Machines
125
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
125
02:33Lattice Centering and Coordination Number
9.7K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Types of Unit Cells
Imagine taking a large number of identical...
9.7K
01:23Stability of Equilibrium Configuration
482
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
482
01:32Cytoskeletal Coordination in Cell Migration
4.8K
A migrating cell changes its shape during the cyclic events of attachment and detachment from the substratum and repositions the cell organelles correspondingly. These complex events are orchestrated by the dynamic cytoskeletal network comprising actin filaments, intermediate filaments, and microtubules. Cytoskeletal crosstalk — the direct and indirect communication between the different components — is crucial for this coordination. Direct communication involves various linker...
4.8K
01:24BIBO stability of continuous and discrete -time systems
437
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
437