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Transition to doubly diffusive chaos
Physical Review Fluids ( IF 2.7 ) Pub Date : 
Cédric Beaume

Doubly diffusive convection is studied in a three-dimensional enclosure of square horizontal cross-section. Previous studies have focused on the emergence of steady states and revealed that the primary instability from the conduction state gives rise to subcritical branches of spatially localized states that undergo snaking. These states are further destabilized by the presence of the twist instability, resulting in the absence of stable steady states beyond the primary bifurcation. This paper investigates the temporal dynamics in the vicinity of the primary bifurcation. When the conduction state is unstable, a sequence of instabilities occurs that gives rise to chaotic dynamics. This chaos is produced at a crisis bifurcation located close to the primary bifurcation and is characterized via its critical exponent. This phenomenon necessitates very few requirements to be observed, which is exemplified by the construction of a low-dimensional model, and is thus believed to be observable in many other systems.

中文翻译:

过渡到双重扩散混乱

在正方形水平横截面的三维围护中研究了双扩散对流。先前的研究集中在稳态的出现上,并揭示了传导态的主要不稳定性会引起空间局部状态的次临界分支,这些次临界分支会发生蛇行。这些状态由于扭曲不稳定性的存在而进一步不稳定,导致除了主要分叉点之外没有稳定的稳态。本文研究了初级分支附近的时间动态。当传导状态不稳定时,会发生一系列不稳定性,从而引起混沌动力学。这种混乱是在靠近主要分叉的危机分叉处产生的,并以其临界指数为特征。
更新日期:2020-09-16
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