非线性选民模型的订单动态.
Lucía S Ramirez1, Federico Vazquez2, Maxi San Miguel1
1Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain.
Physical review. E
|April 18, 2024
概括
本研究探讨了非线性选民模型中的意见动态. 对于q>1,共识是由多数意见驱动的,而q<1支持少数意见,展示独特的多状态行为,与线性模型不同.
科学领域:
- 统计物理 统计物理
- 社会物理学的社会物理.
- 复杂的系统复杂的系统.
背景情况:
- 选民模型是意见动态的基础.
- 之前的模型通常假定意见采用率是线性的.
- 非线性动态引入了在线性系统中看不到的复杂行为.
研究的目的:
- 调查多个状态的非线性选民模型中的排序动态.
- 分析指数"q"对意见采用和共识的影响.
- 开发和验证这些模型的新近似方法.
主要方法:
- 对具有不同"q"值的非线性选民模型的分析.
- 多状态和双状态模型之间的比较.
- 在图表上为多状态模型开发对近似.
主要成果:
- 对于q>1,确定性漂移驱动共识,噪音起到较小的作用.
- 对于q<1,少数意见是受欢迎的,导致多状态模型中的元稳定状态.
- 非线性多态模型不能被简化为有效的两态模型,并显示为q<1.1的非指数接口衰变.
结论:
- 与线性模型相比,非线性选民模型表现出不同的订单动态.
- 指数"q"批判性地决定了多数/少数意见和噪音的作用.
- 开发的对近似增强了对非线性多国意见动态的分析.
相关概念视频
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
66
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,...
66
Dynamic Equilibrium
51.6K
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
51.6K
Alternative Sets of Equilibrium Equations
390
When analyzing the behavior of structures, engineers often rely on the concept of equilibrium. This refers to the state where all forces and moments acting on a system balance each other, resulting in no net movement or rotation. In many cases, equilibrium can be described by a set of standard equations. However, in some situations, alternative sets of equilibrium equations must be used to describe the system's behavior accurately.
One example of such a situation can be observed in a...
One example of such a situation can be observed in a...
390
Second Order systems II
107
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.
107
Second Order systems I
154
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...
154
Mechanistic Models: Compartment Models in Individual and Population Analysis
39
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
39


