库拉莫托振荡器中具有惯性的高阶相互作用
Patrycja Jaros1, Subrata Ghosh1,2, Dawid Dudkowski1
1Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Physical review. E
|September 19, 2023
概括
在合相振荡器中,更高阶的相互作用揭示了超越对联合的新集体状态. 调整相位延迟和交互信号对于新出现的网络动态至关重要.
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.
- 网络科学 网络科学
背景情况:
- 合振荡器的动态是许多自然和工程系统的基础.
- 配对相互作用是研究得很好的,但更高阶的相互作用可以导致新的新兴行为.
- 了解这些高阶效应是充分描述复杂网络动态的关键.
研究的目的:
- 研究更高阶相互作用对合相位振荡器动态景观的影响.
- 为了识别出新的集体状态,从高阶合中出现,这些状态在双相相互作用模型中是缺席的.
- 探索参数空间,包括相滞后和合强度,用于双向和高阶相互作用.
主要方法:
- 使用了三个合的库拉莫托相振荡器与惯性的网络模型.
- 在广泛的范围内系统地改变相位延迟和合强度 (双向和更高阶).
- 采用数值模拟来识别和分类在扩展参数空间内的各种集体状态.
主要成果:
- 观察到已知的状态,如同步,频率虚构状态和具有明显参数边界的旋转波.
- 发现了新的状态,特别是2+1反极点和2+1相锁状态,由更高阶相互作用驱动.
- 证明了相滞后的关键重要性,以及在新兴动态上更高阶合强度的信号.
结论:
- 高阶相互作用显著扩大了振荡器网络中集体状态的表现.
- 阶段滞后和更高阶合的性质之间的相互作用决定了复杂的网络行为.
- 分析支持验证了数值发现,突出了高阶效应在振荡器动态中的作用.
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