在具有更高阶交互的时间变化的多层网络中,同步和奇默状态
Xueqi Li1, Dibakar Ghosh2, Youming Lei1,3
1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China.
Chaos (Woodbury, N.Y.)
|May 16, 2025
概括
这项研究分析了具有更高阶相互作用的时间变化的多层网络中的同步. 更强的合和更高层次的效应促进了超扩散和虚构状态,而切换频率则决定了层间同步.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 以前的研究重点是静态的多层网络与对互动.
- 对时间变化的网络和更高层次的相互作用的分析仍未得到充分探索.
研究的目的:
- 将自身光谱分析扩展到具有更高阶相互作用的时间变化的多层网络.
- 研究多重和相互连接的网络结构中的同步现象.
主要方法:
- 对于具有更高阶相互作用的多重网络的自身光谱的分析导出.
- 使用双层合子网络进行数值模拟.
- 对相互连接的网络进行参数空间分析和主稳定功能.
主要成果:
- 较强的层间合加快了超扩散,抑制了多稳定性.
- 高阶相互作用降低了超扩散的关键值,促进了双相稳定性和幻象状态.
- 高频层间链路切换会破坏同步;低频允许它.
结论:
- 同步稳定性取决于层间合强度和切换动态.
- 高阶相互作用和层间合显著影响像喜梅拉状态这样的新兴现象.
- 网络结构和动态批判性地决定了多层系统中的同步模式.
更多相关视频
09:47Interfacing 3D Engineered Neuronal Cultures to Micro-Electrode Arrays: An Innovative In Vitro Experimental Model
Published on: October 18, 2015
10.0K
07:12Using Informational Connectivity to Measure the Synchronous Emergence of fMRI Multi-voxel Information Across Time
Published on: July 1, 2014
12.2K
相关概念视频
Nonconscious Mimicry
4.5K
Nonconscious mimicry occurs when individuals alter their mannerisms to match the behaviors and expressions of those nearby, without intention.
4.5K
Multimachine Stability
115
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:
115
Cooperative Allosteric Transitions
7.8K
Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
7.8K
Real-World Application of Classical Conditioning
489
Classical conditioning not only includes the initial pairing of stimuli but also extends to more complex forms, such as higher-order conditioning. Higher-order conditioning involves creating associations beyond the primary conditioned stimulus, resulting in a chain of conditioned responses.
Higher-order, or second-order, conditioning occurs when a neutral stimulus becomes associated with an already established conditioned stimulus through repeated pairings. For instance, if a dog has been...
Higher-order, or second-order, conditioning occurs when a neutral stimulus becomes associated with an already established conditioned stimulus through repeated pairings. For instance, if a dog has been...
489
State Space Representation
154
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
154
¹H NMR: Interpreting Distorted and Overlapping Signals
937
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
937
