Rijke管：一种非线性振荡器
Rijke tube: A nonlinear oscillator
摘要：
动态系统理论已经成为一个跨学科的研究领域，以描述现实世界系统中复杂的动态转变。在过去的几十年里，人们利用不同的振子降阶模型发现了各种非线性动力学现象和分岔现象。理论上已经开发了不同的措施和方法来检测、控制或抑制非线性振荡。然而，通过实验获得这样的现象通常是具有挑战性的，耗时的，并且有风险的，主要是由于在实验期间对某些参数的有限控制。通过这篇评论，我们的目标是介绍一个范例和易于配置的Rijke管振荡器的动力系统社区。Rijke管通常被燃烧界用作研究热声不稳定性有害现象的原型。最近的调查，在这样的Rijke管利用各种方法从动力系统理论，以更好地了解热声振荡的发生，他们的预测和缓解，无论是实验和理论。各种动力学行为的存在已被报道在单个以及耦合的Rijke管振荡器。这些行为包括分叉、通向混沌的路径、噪声诱导的跃迁、同步和振荡抑制。已经建立了各种预警措施来预测热声不稳定性。因此，这篇综述论文巩固了Rijke管振荡器在实验发现和模拟物理学中观察到的不同非线性现象方面的有用性;因此，超越了物理学和工程界之间的界限。
英文摘要：
Dynamical systems theory has emerged as an interdisciplinary area of research to characterize the complex dynamical transitions in real-world systems. Various nonlinear dynamical phenomena and bifurcations have been discovered over the decades using different reduced-order models of oscillators. Different measures and methodologies have been developed theoretically to detect, control, or suppress the nonlinear oscillations. However, obtaining such phenomena experimentally is often challenging, time-consuming, and risky, mainly due to the limited control of certain parameters during experiments. With this review, we aim to introduce a paradigmatic and easily configurable Rijke tube oscillator to the dynamical systems community. The Rijke tube is commonly used by the combustion community as a prototype to investigate the detrimental phenomena of thermoacoustic instability. Recent investigations in such Rijke tubes have utilized various methodologies from dynamical systems theory to better understand the occurrence of thermoacoustic oscillations, their prediction and mitigation, both experimentally and theoretically. The existence of various dynamical behaviors has been reported in single as well as coupled Rijke tube oscillators. These behaviors include bifurcations, routes to chaos, noise-induced transitions, synchronization, and suppression of oscillations. Various early warning measures have been established to predict thermoacoustic instabilities. Therefore, this review paper consolidates the usefulness of a Rijke tube oscillator in terms of experimentally discovering and modeling different nonlinear phenomena observed in physics; thus, transcending the boundaries between the physics and the engineering communities.
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