在配对的极限周期振荡器中单独死亡,具有更高阶相互作用
Subhasanket Dutta1, Umesh Kumar Verma1, Sarika Jalan1
1Complex Systems Lab, Department of Physics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore-453552, India.
Physical review. E
|January 20, 2024
概括
这项研究在合振荡器中引入了更高阶的相互作用,透露了通过同临床分叉向单一死亡状态的爆炸性过渡. 这一发现对理解复杂的动态有意义,包括发作中的动态.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂的系统复杂的系统.
- 理论物理学的理论物理.
背景情况:
- 合极限周期振荡器通常会呈现相位过渡到振幅或振荡死亡.
- 现有的模型主要侧重于对互动.
研究的目的:
- 为了研究更高层次的相互作用的影响,不能被简化为双向合,在振荡器动态.
- 在合的斯图尔特-兰多振荡器中探索新的相位过渡和新兴状态.
主要方法:
- 将高阶交互方案纳入结合的斯图尔特-兰多振荡器模型.
- 使用数值模拟分析动态演变和相位过渡的分析.
- 分析确定关键合强度.
主要成果:
- 一个孤独的死亡状态的发现是通过一级的爆炸性相位过渡实现的.
- 确定同临床分叉作为驱动爆炸性死亡状态的机制.
- 在过渡之前和之后观察振幅激增和振荡复苏.
结论:
- 高阶相互作用可以导致独特的动态状态,例如孤独死亡状态.
- 鉴定到的爆炸性过渡机制不同于典型的临界下霍夫分叉.
- 这些发现为复杂的动态提供了洞察力,与发作动态有潜在的平行关系.
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