对于在多层系统中具有更高阶相互作用的逆子,同步开始
Vasundhara Rathore1, Ayushi Suman2, Sarika Jalan1,2
1Department of Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India.
Chaos (Woodbury, N.Y.)
|September 20, 2023
概括
在具有更高阶交互的多层网络中引入反向器可以令人惊地帮助同步. 多层强度控制着这种同步开始和相位过渡,这对于像大脑这样的复杂系统至关重要.
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:
- 相反的观点或行为的人,个人或元素,可以显著影响群体动态.
- 多层网络,代表具有多个相互作用层的系统,为复杂系统提供了更现实的模型.
- 在自然和社会系统中,越来越多地认识到超出简单的对联连接的更高阶相互作用.
研究的目的:
- 研究通过负合建模的相反元素对高阶相互作用的多层网络同步的影响.
- 确定多层强度和高阶相互作用如何影响同步动态和相位转换.
主要方法:
- 使用相位振荡器的多层网络框架.
- 实施负合来表示相反的影响.
- 通过平均场Ott-Antonsen方法使用分析计算.
- 通过数值模拟验证分析结果.
主要成果:
- 多层框架便于同步开始,即使有负对联 (contrarians).
- 同步开始和相位过渡的性质由多层强度控制.
- 更高阶的相互作用决定了向后的关键合.
- 为了使系统能够同步,需要一个关键的多层强度.
结论:
- 多层网络可以在存在相反的元素的情况下促进同步.
- 多层强度和高阶相互作用之间的相互作用是理解复杂系统中的同步的关键.
- 这些发现提供了对神经和社交网络等现实世界系统中新出现的行为的见解.
相关概念视频
¹H NMR: Interpreting Distorted and Overlapping Signals
1.1K
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...
1.1K
Second Order systems I
183
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
By reinterpreting the system, one can derive the closed-loop transfer function, which...
183
Linear time-invariant Systems
285
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
285
Second Order systems II
130
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
130
First Order Systems
121
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
121
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
87
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
87


