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On the route to a better understanding of the complex nonlinear dynamics of a plasma

机译：在更好地了解等离子体的复杂非线性动力学的途径上

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In many cases, the analytical understanding of the complex nonlinear behaviour of plasmas is simplified by the fact that the plasma dynamics is low-dimensional. Then, quite universal descriptions, which can predict quite sophisticated phenomena, are available. This aspect, and the corresponding appearance of spatially coherent structures, are first discussed for the single-mode dynamics in a weakly unstable (or marginal) regime. The procedure is then generalized to a few modes. The following examples are used to point out the benefits from a low-dimensional description: ionization wave instability, Pierce instability, interchange instability and electron drift instability. Special emphasis is put on the following aspects. Low-dimensional dynamics is quite rich and allows one to apply modem control mechanisms. Coherent structures are present in the dynamics and may contribute to the understanding of transport scalings. The overview is concluded by pointing out some similarities to high-dimensional situations. In the latter, structures (singularities) also have a signature in the dynamical behaviour. They allow us to understand more deeply certain scaling behaviour. [References: 117]
机译：在许多情况下，由于等离子体动力学是低维的，因此简化了对等离子体复杂非线性行为的分析理解。然后，可以获得可以预测相当复杂现象的相当通用的描述。首先针对弱不稳定（或边际）状态下的单模动力学讨论此方面以及空间相干结构的相应外观。然后将该过程概括为几种模式。以下示例用于指出低维描述的好处：电离波不稳定性，皮尔斯不稳定性，交换不稳定性和电子漂移不稳定性。特别强调以下方面。低维动态特性非常丰富，并允许人们应用调制解调器控制机制。相干结构存在于动力学中，可能有助于理解传输比例。通过指出与高维度情况的相似之处来结束概述。在后者中，结构（奇异性）在动力学行为中也具有特征。它们使我们能够更深入地了解某些扩展行为。 [参考：117]

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