在异构的库拉莫托振荡器群体网络中,从幻象到广泛的混乱
Pol Floriach1, Jordi Garcia-Ojalvo2, Pau Clusella3
1Department of Mathematical Sciences, University of Copenhagen, Copenhagen DK-2100, Denmark.
Chaos (Woodbury, N.Y.)
|February 3, 2025
概括
合振荡器群体的网络可以显示复杂的动态. 一个不稳定导致两个人群的奇默状态,可以导致更大的网络广泛的混乱,揭示了普遍的动态.
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:
- 结合的振荡器群体表现出多样化的动态,包括同步,幻象状态和混乱.
- 这些群体的网络预计会显示出更复杂的行为.
- 异质平均场合的库拉莫托-萨卡古奇振荡器是关键模型系统.
研究的目的:
- 分析异质平均场合库拉莫托-萨卡古奇振荡器群体网络的动态.
- 调查大型网络中复杂动态的出现,包括混乱.
- 为理解振荡器网络中新出现的动态提供统一的分析框架.
主要方法:
- 利用奥特-安东森方程来建模振荡器群体的中光学行为.
- 应用主稳定函数形式主义对同质状态的稳定性分析.
- 检查两个人口模型,环网络和埃尔多斯-雷尼网络中的动态.
主要成果:
- 确定了一个不稳定性,在两种人群系统中转化为奇默状态,在大型网络中转化为广泛的混乱.
- 证明横向不稳定性导致环形和埃尔多斯-雷尼网络的时空混乱.
- 显示,混乱制度的复杂性与系统大小线性扩展.
结论:
- 一个统一的分析框架解释了振荡器群体网络中的新兴动态.
- 这项研究将奇默状态与复杂网络中的强大的高维混乱联系起来.
- 这些发现提供了对合振荡器系统普遍行为的洞察.
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