等离子体turbulence的变形-剪切流动力学通过跨临界分岔
Metamorphosis of plasma turbulence-shear flow dynamics through a transcritical bifurcation
摘要：
通过分岔和稳定性分析，研究了约束等离子体湍流调节器经济模型的结构特性。一个密切的关系，表现出潜在的分歧框架的模型和典型的行为与低到高的限制过渡，如剪切流稳定的湍流和振荡的集体行动。特别是，分析表明两种类型的不连续过渡，是定性不同的。一个涉及经典的滞后，由粘性耗散。另一种是固有的振荡和非滞后的，因此提供了一个模型，经常观察到的所谓的抖动过渡。系统动力学的这种变形或转变是临界破裂的一个重要的后期副作用，它表现为由显著的剪切流驱动引起的不寻常的非对称跨临界分叉。
英文摘要：
The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the model and typical behavior associated with low- to high-confinement transitions such as shear flow stabilization of turbulence and oscillatory collective action. In particular, the analysis evinces two types of discontinuous transition that are qualitatively distinct. One involves classical hysteresis, governed by viscous dissipation. The other is intrinsically oscillatory and non-hysteretic, and thus provides a model for the so-called dithering transitions that are frequently observed. This metamorphosis, or transformation, of the system dynamics is an important late side-effect of symmetry-breaking, which manifests as an unusual non-symmetric transcritical bifurcation induced by a significant shear flow drive.
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