高阶相互作用对两种库拉莫托振荡器种群的奇默状态的影响
Rumi Kar1, Akash Yadav1, V K Chandrasekar2
1School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram 695551, Kerala, India.
Chaos (Woodbury, N.Y.)
|February 16, 2024
概括
在合的库拉莫托振荡器中,更高阶的相互作用显著地影响了奇默状态. 这些相互作用促进呼吸模拟器和全球同步,同时抑制稳定的模拟器,这取决于参数异质性.
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.
- 理论物理学的理论物理.
背景情况:
- 库拉莫托振荡器被广泛用于模拟合系统中的同步现象.
- 奇美拉状态,即同步和非同步行为的共存,在振荡器网络中出现.
- 高阶相互作用和相滞异质性在嵌合体动态中的作用仍然是活跃的研究领域.
研究的目的:
- 调查更高阶相互作用和相滞异质性对全球合的库拉莫托振荡器中嵌合体状态的影响.
- 将参数空间映射到稳定和呼吸的奇默状态,并识别分叉点.
- 分析促成或抑制不同幻象状态和全球同步的条件.
主要方法:
- 分析两种种群的库拉莫托振荡器,具有对式和高阶相互作用.
- 使用分析方法和数值模拟 (XPPAUT) 确定两叉曲线 (结,Hopf,同临床).
- 应用奥特-安东森方程来推导宏观秩序参数的低维进化方程.
主要成果:
- 稳定的嵌合体状态存在于结和Hopf分叉之间;呼吸嵌合体存在于Hopf和同临床分叉之间.
- 高阶相互作用促进了分叉过渡,并促进了呼吸神象,同时抑制了稳定的神象.
- 低异质性有利于喜梅拉的传播,而高异质性促进全球同步.
结论:
- 高阶相互作用和阶段滞后异质性在合振荡器系统中批判性地控制新兴动力学和虚构状态.
- 该研究提供了详细的相位图和对两叉曲线的分析预测,通过模拟验证.
- 这些发现有助于理解各种科学领域的复杂同步模式.
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