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在具有更高阶相互作用的合振荡器中,第一阶过渡到振荡死亡
Richita Ghosh1, Umesh Kumar Verma2, Sarika Jalan2
1Department of Physics, Central University of Rajasthan, Rajasthan, Ajmer-305 817, India.
Physical review. E
|November 18, 2023
概括
结合的斯图尔特-兰多振荡器中的高阶相互作用导致爆炸性过渡和多个稳定状态. 这与对互动形成鲜明对比,为复杂系统动态提供了洞察力.
科学领域:
- 复杂系统动力学 复杂系统动力学
- 非线性振荡器 不线性振荡器
- 网络科学 网络科学
背景情况:
- 斯图尔特-兰多振荡器是研究同步现象的基本模型.
- 通过结合或不相似的变量和更高阶相互作用的合在现实世界复杂系统中至关重要.
- 简化复合体为分析具有更高阶结构的网络提供了一个框架.
研究的目的:
- 为了研究全球合的斯图尔特-兰多振荡器在简化复合体上的动态演变.
- 探索高阶 (三元) 相互作用与双元 (二元) 相互作用对系统动态的影响.
- 分析这些复杂网络中相变和稳定状态的出现.
主要方法:
- 全球合的斯图尔特-兰多振荡器在简化复合体上的数值模拟.
- 分析相位过渡,特别关注过渡的顺序 (第一阶段与第二阶段).
- 对逆向过渡点的分析计算可以理解动态状态的起源.
主要成果:
- 一个第一阶段的爆炸性阶段从振荡到振荡死亡的过渡被观察到三元相互作用.
- 高阶相互作用导致了四种不同的同质稳定状态,而二极交互的两个不同.
- 观察到的动态状态和过渡行为对噪声有很强的抵抗力.
结论:
- 高阶相互作用从根本上改变了合振荡器的集体动态,导致爆炸性过渡和更丰富的稳定状态行为.
- 这些发现提供了对具有复杂交互结构的复杂系统的更深入的理解,适用于生态学和流行病学等领域.
- 开发的分析框架有助于描述复杂网络过渡区域内的动态状态.
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