Thomas Nevin, Mondal Sirshendu, Pawar Samadhan A, Sujith R I
Indian Institute of Technology Madras, Chennai 600036, India.
Chaos. 2018 Mar;28(3):033119. doi: 10.1063/1.5009999.
We here systematically investigate amplitude death (AD) phenomenon in a thermoacoustic system using a mathematical model of coupled prototypical thermoacoustic oscillators, the horizontal Rijke tubes. AD has recently been identified as a relatively simple phenomenon, which can be exploited to stop the unwanted high amplitude pressure oscillations resulting from the occurrence of thermoacoustic instability. We examine the effect of time-delay and dissipative couplings on a system of two Rijke tubes when they are symmetrically and asymmetrically coupled. The regions where appropriate combinations of delay time, detuning, and the strengths of time-delay and dissipative coupling lead to AD are identified. The relative ease of attaining AD when both the couplings are applied simultaneously is inferred from the model. In the presence of strong enough coupling, AD is observed even when the oscillators of dissimilar amplitudes are coupled, while a significant reduction in the amplitudes of both the oscillators is observed when the coupling strength is not enough to attain AD.
我们在此使用耦合原型热声振荡器（水平瑞利管）的数学模型，系统地研究热声系统中的振幅死亡（AD）现象。AD最近被认为是一种相对简单的现象，可用于阻止热声不稳定性产生的有害高振幅压力振荡。我们研究了时间延迟和耗散耦合对两个瑞利管系统在对称和非对称耦合时的影响。确定了延迟时间、失谐以及时间延迟和耗散耦合强度的适当组合导致AD的区域。从模型中推断出同时应用两种耦合时实现AD的相对容易程度。在存在足够强的耦合时，即使耦合不同振幅的振荡器也会观察到AD，而当耦合强度不足以实现AD时，两个振荡器的振幅都会显著降低。
