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在随机超图中,普遍的适应诱导的非通用同步过渡在随机超图中.

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概括
此摘要是机器生成的。

我们研究了部分顺序参数适应如何影响合的库拉莫托振荡器. 不同的适应函数,包括功率定律和多项式,导致各种同步过渡,如双跳和中间状态.

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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:

  • 库拉莫托模型是研究合振荡器同步的标准框架.
  • 了解复杂网络中的同步过渡对于各种科学领域至关重要.
  • 超图模型提供了比对联接更广泛的互动的更一般的表示.

研究的目的:

  • 为了研究使用一般函数对振荡器同步进行部分顺序参数调整的影响.
  • 探索在随机超图上配对的库拉莫托振荡器中的同步行为,具有双向和三角相互作用.
  • 分析不同适应策略下的多种同步模式的出现.

主要方法:

  • 使用奥特-安东森的方法来导出顺序参数的自相一致方程.
  • 模拟振荡器之间的相互作用作为随机超图结构中的双向和三角.
  • 分析各种泛化的适应函数 (例如,功率定律,多项式,高斯函数) 对同步的影响.

主要成果:

  • 由于适应,功能类型和合强度的相互作用,观察到广泛的同步过渡.
  • 特别是在功率法调整函数下确定了一个双跳过渡.
  • 发现了与多项式适应和特定系数组合的中间同步状态的出现.
  • 证明同步可以是连续的或爆炸性的基于对联强度的变化,也观察到高斯适应.

结论:

  • 在概括形式的部分顺序参数适应显著多样化在合的库拉莫托振荡器在超图上的同步行为.
  • 适应函数的选择极大地影响了观察到的同步过渡的类型和特征.
  • 这项研究突出了高阶相互作用的系统中复杂同步现象的丰富动态和潜力.