在临界合下方的有限尺寸库拉莫托模型中的集体波动:射击噪声方法
S Yu Kirillov1, V V Klinshov1,2
1A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, Ulyanova Street 46, Nizhny Novgorod 603950, Russia.
Chaos (Woodbury, N.Y.)
|September 8, 2025
概括
库拉莫托模型中的有限大小效应允许在临界合下进行暂时同步. 这挑战了经典理论,并为结合振荡器系统 (如神经网络和电网) 提供了洞察力.
科学领域:
- 物理 物理学 物理
- 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.
背景情况:
- 库拉莫托模型是研究合振荡器系统同步的关键框架.
- 在热力学极限中,同步只发生在关键合强度以上.
- 现实世界的系统是有限的,导致的动态可能不同于平均场预测.
研究的目的:
- 在库拉莫托模型中研究临界合强度以下的有限尺寸效应.
- 了解如何在有限系统中出现过渡同步,其中平均场理论预测异步.
- 分析集体波动对有限系统中的合强度的依赖.
主要方法:
- 使用射击噪声方法分析新出现的集体波动的功率频谱.
- 数字模拟用于验证理论发现.
- 结果与经典平均场预测结果的比较.
主要成果:
- 为集体波动的功率谱得出分析结果,并表明它取决于合强度.
- 数字模拟证实了理论预测.
- 由于非线性效应,在关键合点附近观察到与分析结果的偏差.
结论:
- 有限大小的波动可以在库拉莫托模型中维持临界合下面的短暂同步.
- 这些发现扩大了对同步的理解,超越了经典的平均场理论.
- 结果为涉及合振荡器系统的应用提供了宝贵的见解,包括神经网络和电网.
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