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Dynamo bifurcations in an array of driven convectionlike rolls

机译:一系列从动对流辊中的发电机分叉

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摘要

The bifurcations in a three-dimensional incompressible, electrically conducting fluid with an external forcing of the Roberts type have been studied numerically. The corresponding flow can serve as a model for the convection in the outer core of the Earth and is realized in an ongoing laboratory experiment aimed at demonstrating a dynamo effect. The symmetry group of the problem has been determined and special attention has been paid to symmetry breaking by the bifurcations. The nonmagnetic, steady Roberts flow loses stability to a steady magnetic state, which in turn is subject to secondary bifurcations. The secondary solution branches have been traced until they end up in chaotic states. [References: 17]
机译:在三维不可压缩的导电流体中,具有罗伯茨型外力的分叉已经得到了数值研究。相应的流可以用作地球外核对流的模型,并在正在进行的旨在证明发电机效应的实验室实验中实现。确定了问题的对称组,并特别关注了因分叉而造成的对称破坏。非磁性,稳定的罗伯茨流失去了对稳态磁态的稳定性,而稳态又受二次分叉的影响。次级解决方案分支一直被追踪,直到它们最终陷入混乱状态。 [参考:17]

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