论文标题
实验和非线性延迟Langevin方程中的层流混乱：用于检测层层混乱的时间序列分析工具箱
Laminar Chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of Laminar Chaos
论文作者
论文摘要
最近，显示某些具有较大时变延迟的系统表现出不同类型的混乱，这与两种类型的时变延迟有关：保守和耗散延迟。已知的高维湍流混乱的特征是强烈的波动。相反，最近发现的低维层流混乱的特征是几乎恒定的层流相具有周期性持续时间和相混乱的差异。在本文中，我们从上一篇文章中扩展了结果[J. D. Hart，R。Roy，D。Müller-Bender，A。Otto和G. Radon，PRL 123 154101（2019）]，在这里证明层层混乱是一种可靠的现象，可以在实验系统中观察到。我们提供了一个时间序列分析工具箱，用于检测层状混乱的稳健特征。我们根据模型系统的实验时间序列和时间序列对我们的工具箱进行基准测试，该系统由非线性Langevin方程以随时间变化的延迟描述。对于实验系统和模型系统的不同噪声强度，也可以在其中检测到层状混乱，即使很难通过对轨迹的视觉分析来区分湍流混乱，也可以在其中进行基准。
Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two types of time-varying delay: conservative and dissipative delays. The known high-dimensional Turbulent Chaos is characterized by strong fluctuations. In contrast, the recently discovered low-dimensional Laminar Chaos is characterized by nearly constant laminar phases with periodic durations and a chaotic variation of the intensity from phase to phase. In this paper we extend our results from our preceding publication [J. D. Hart, R. Roy, D. Müller-Bender, A. Otto, and G. Radons, PRL 123 154101 (2019)], where it is demonstrated that Laminar Chaos is a robust phenomenon, which can be observed in experimental systems. We provide a time-series analysis toolbox for the detection of robust features of Laminar Chaos. We benchmark our toolbox by experimental time series and time series of a model system which is described by a nonlinear Langevin equation with time-varying delay. The benchmark is done for different noise strengths for both the experimental system and the model system, where Laminar Chaos can be detected, even if it is hard to distinguish from Turbulent Chaos by a visual analysis of the trajectory.
