库拉莫托模型具有随机重置和通过外部介质进行合
1Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom.
Chaos (Woodbury, N.Y.)
|February 26, 2025
概括
本研究分析了间接合的振荡器网络中的随机相位重置. 低密度显示子系统重置显著影响集体同步,与反映经典模型的高密度不同.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 统计物理 统计物理
背景情况:
- 大多数振荡器网络研究都侧重于直接合 (例如,库拉莫托模型).
- 通过常见介质间接合越来越重要 (例如,细菌定数传感,合激光器).
- 随机重置引入了外部环境扰动.
研究的目的:
- 分析随机相位重置对一个具有间接合的Kuramoto模型的影响.
- 调查集体同步如何受到间接相互作用和环境重置的影响.
- 探索细胞密度在调节同步动态中的作用.
主要方法:
- 在随机重置下,对人口密度的连续性方程的推导.
- 应用奥特-安东森 (OA) 方法来简化系统.
- 将其缩小到一个四维的零碎确定性系统,并进行子系统重置.
主要成果:
- 在高密度下,OA动态与全局重置被恢复,类似于古典的库拉莫托模型.
- 在低密度下,子系统重置会显著改变集体同步.
- 观察到的现象包括噪音诱导的转换和由于子系统重置而导致的缓慢/快速动态.
结论:
- 间接合和随机重置引入了直接合系统中不存在的新动态.
- 细胞密度是决定子系统重置对同步的影响的一个关键参数.
- 该模型为像细菌定数感应这样的系统提供了对集体行为的洞察.
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