基于模型的重建现实世界的碎形复杂网络
Kordian Makulski1, Mateusz J Samsel1, Michał Łepek1
1Warsaw University of Technology, Faculty of Physics, Koszykowa 75, Warsaw PL-00-662, Poland.
Physical review. E
|September 16, 2025
概括
这项研究介绍了一种灵活的碎形网络模型,模仿真实世界的系统. 它使用可调节参数和随机增长准确地复制复杂的网络属性,如分数维度和尺度不变性.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络理论 网络理论
- 计算物理 计算物理
背景情况:
- 现实世界的网络往往表现出复杂的,碎形结构.
- 现有的模型难以捕捉这些网络的多样化的拓性质和扩展行为.
研究的目的:
- 开发一种用于生成碎形复杂网络的多功能模型.
- 为了增加现实性,将可调节的参数和随机性纳入.
- 复制自然和人造网络的关键特征.
主要方法:
- 结合了反向重新规范化和不断发展的网络模型.
- 引入可调节参数以提供灵活性.
- 将随机性纳入网络增长过程中.
主要成果:
- 该模型成功生成了碎形复杂网络.
- 复制关键特征:分数尺寸,权力法度分布和尺度不变.
- 克服了确定性模型的局限性,例如不连续性和刚性尺寸约束.
结论:
- 拟议的模型提供了一种灵活而准确的方法来模拟碎形复杂网络.
- 证明适用于现实世界的网络,如互联网和WWW.
- 为研究网络演变和结构提供了有价值的工具.
相关概念视频
Typical Model Studies
620
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
620
Sequence Networks of Rotating Machines
485
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...
485
Multicompartment Models: Overview
502
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
502


