时间网络中的同步性与小世界和随机拓学的比较
Xiaoming Liang1, Jindong Zhou1, Jie Zhou2
1Jiangsu Normal University, School of Physics and Electronic Engineering, Xuzhou 221116, China.
Physical review. E
|November 18, 2025
概括
时间网络拓显著影响同步. 小世界网络在更长的时间尺度上表现出色,具有高的重新布线,而随机网络在更短的时间尺度和更低的重新布线概率下更快地同步.
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:
- 时间网络在结构上表现出动态变化.
- 网络拓对于像同步这样的新兴现象至关重要.
- 通过网络合的混乱系统带来了独特的同步挑战.
研究的目的:
- 调查时间网络拓对混沌摆动同步的影响.
- 为了比较小世界和随机时间网络之间的同步性能.
- 在不断发展的网络中确定同步的关键参数和值.
主要方法:
- 模拟混乱的摆形通过不断发展的小世界和随机时间网络相结合.
- 系统地改变边缘重新布线的概率和时间表.
- 采用主稳定函数和新的边缘变化率进行分析.
主要成果:
- 同步需要边缘重新布线概率超过关键值,这取决于网络类型.
- 随机网络在更短的时间尺度和更低的重新布线概率下更快地同步.
- 小世界网络在更长的时间尺度上表现出优异的同步,具有更高的重新布线概率.
结论:
- 小世界和随机时间网络拓都可以实现同步,但在不同的条件下.
- 网络拓,重新布线动态和时间尺度之间的相互作用决定了同步效率.
- 分析方法为预测时间网络中的同步行为提供了有价值的见解.
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