同步及其在噪音振荡器中的缓慢衰减与简单的相互作用
Yuichiro Marui1, Hiroshi Kori1,2
1The University of Tokyo, Department of Mathematical Informatics, Graduate School of Information Science and Technology, Tokyo 113-8656, Japan.
Physical review. E
|February 20, 2025
概括
噪音可以破坏复杂的振荡器网络中的同步状态. 然而,特定的相互作用可以防止这种侵蚀,导致持久的同步状态,并提供对网络设计的见解.
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:
- 之前对具有双简单相互作用的振荡器网络的研究揭示了不连续脱同步和多稳定性等现象.
- 噪音对高阶网络同步的影响仍然不太清楚.
研究的目的:
- 调查噪声对具有通用相互作用的高阶振荡器网络同步的影响.
- 了解不同类型的简单交互如何影响噪声诱导的脱同步和同步状态的持久性.
主要方法:
- 分析一个更高阶网络模型,其中包含一个简单的和两种类型的两个简单的与噪声的相互作用.
- 弱非线性分析用于研究同步状态的出现.
- 对弱噪声应用克莱默斯速率理论,为库拉莫托顺序参数推导动态方程.
主要成果:
- 主导的双简单交互会导致噪声诱导的同步侵蚀,即使噪声较弱.
- 同步状态可以持续存在,生命周期随着两个简单的相互作用强度呈指数增长.
- 足够强大的单模交互或替代双模交互可以防止噪声侵蚀,确保持续的同步.
- 弱非线性分析表明,噪声诱导的同步过渡可以是超临界或次临界.
- 一个导出的动态方程量化了同步侵蚀的时间尺度.
结论:
- 噪音对高阶网络中的同步产生重大影响,交互类型决定了稳定性.
- 特定的网络结构和交互优势可以赋予对噪音诱导的脱同步的稳定性.
- 研究结果提供了对复杂网络中同步振荡器系统的控制和设计的见解.
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