在圆形拓学上的库拉莫托模型中探索激发性和抑制性相互作用的相互作用
Albert Díaz-Guilera1,2, Dimitri Marinelli1,2, Conrad J Pérez-Vicente1,2
1Departament de Física de la Matèria Condensada, Universitat de Barcelona, 08028 Barcelona, Spain.
Chaos (Woodbury, N.Y.)
|April 11, 2024
概括
库拉莫托模型在一个具有抑制相互作用的圆上揭示了超越同步的新吸引力. 这项研究探讨了具有刺激和抑制连接的简单系统中的集体动力学.
科学领域:
- 集体动力学 集体动力学
- 复杂的系统复杂的系统.
- 同步现象是同步现象.
背景情况:
- 库拉莫托模型是研究同步的基准.
- 中场和复杂网络方法得到了充分的研究.
- 有混合相互作用的圆形拓学较少被探索.
研究的目的:
- 在一个带有刺激和抑制连接的圆上研究库拉莫托模型动力学.
- 识别超出同步状态的吸引力.
- 了解抑制相互作用对同步的影响.
主要方法:
- 分析方法 分析方法
- 计算模拟的计算模拟.
- 对系统吸引因素的分析.
主要成果:
- 引入抑制性相互作用改变了吸引力结构.
- 即使对于相同的振荡器,也会出现新的吸引力.
- 同步动态被负连接所改变.
结论:
- 抑制性相互作用在简单的拓学上显著影响集体动态.
- 这些发现扩大了库拉莫托模型中同步的理解.
- 为表现集体行为的物理系统开辟了新的研究途径.
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