"小世界"网络的集体动态
1Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA. djw24@columbia.edu
Nature
|June 12, 1998
概括
研究人员探索了有秩序和随机性混合的网络,发现了"小世界"网络. 这些在自然和技术中发现的网络促进了更快的信号传播和疾病传播.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 动态系统是动态系统.
背景情况:
- 结合的动态系统模拟了各种自我组织的系统.
- 网络拓通常是正规的或随机的,但许多现实世界的网络是中间的.
- 现有的模型往往忽略了具有混合正规和随机属性的网络.
研究的目的:
- 研究网络模型,弥合正规拓和随机拓之间的差距.
- 描述具有可调节障碍的网络的属性.
- 探索这些"小世界"网络在动态系统中的含义.
主要方法:
- 通过逐步重新布线正规格子来引入混乱来开发网络模型.
- 分析网络属性,如集群和特征路径长度.
- 在这些小世界网络上模拟动态系统.
主要成果:
- 引入了"小世界"网络,其特点是高集群和短路径长度.
- 确定了小世界网络的现实实例,包括神经网络和电网.
- 在小世界网络中展示了增强的信号传播,计算能力和同步性.
- 与普通网格相比,在小世界网络中传播传染病的易度增加.
结论:
- 小世界网络代表了网络拓学的关键中间类.
- 这些网络具有独特的特性,有利于信号处理和计算.
- 小世界架构显著影响动态过程,包括疾病传播.
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