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群体系统的集体定向开关具有更高阶相互作用
Shijie Liu1,2, Rui Xiao1, Yongzheng Sun1
1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China.
Chaos (Woodbury, N.Y.)
|September 24, 2025
概括
在动物群体中,更高阶的相互作用会立即稳定运动,但会导致更频繁的方向切换,时间延迟很大. 这揭示了集体行为的复杂动态.
科学领域:
- 集体行为 集体行为
- 动物群动态动物群动态
- 复杂系统的建模复杂的系统建模.
背景情况:
- 在动物群体中,突然的方向变化很常见.
- 在集体切换中,高阶和延迟相互作用的机制尚不清楚.
研究的目的:
- 使用自行推进粒子模型,研究群体系统中的方向切换.
- 分析对,高阶和延迟相互作用对集体运动的影响.
主要方法:
- 开发了一种具有社会相互作用 (对式和更高阶) 的自动运动粒子模型.
- 带有和没有时间延迟的嵌入式场景.
- 应用尺寸缩小和福克-普朗克方程进行理论分析.
- 通过在社交网络上的模拟验证了验证结果.
主要成果:
- 在没有时间延迟的情况下,更高阶的相互作用会增加平均切换时间,促进稳定的运动.
- 随着时间延迟,更高阶的相互作用显示非单调的效果:在小延迟时抑制开关,在大延迟时促进开关.
- 这种非单调的模式在网络模拟中得到证实.
结论:
- 高级结构和时间延迟显著影响集体切换动态.
- 配对交互模型有局限性;复杂的交互网络至关重要.
- 了解这些因素是解释集体动物运动的关键.
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