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arXiv physics/9810014physics.plasm-ph
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反向场箍缩等离子体中低维混沌的研究

Search for low-dimensional chaos in a reversed field pinch plasma

F. Sattin, E. Martines

摘要:

RFX反向场箍缩机的实验数据分析[L. Fellin,P. Kusstatscher和G.罗斯塔尼,融合工程设计公司{ \bf 25},315(1995)]的方法来研究边缘等离子体区中可能存在的确定性混沌。所使用的数学工具包括李雅普诺夫指数、Kaplan-Yorke维数、最小嵌入维数估计和非线性预测。整个分析一致排除了低维混沌的可能性:底层动力系统的维数估计为$ > 10$。通过对文献的批判性重读,我们发现这项工作的发现可能对所有反向场箍缩都是共同的。

英文摘要:

An analysis of experimental data from the RFX (Reversed Field eXperiment) reversed field pinch machine [L. Fellin, P. Kusstatscher and G. Rostagni, Fusion Eng. Des. {\bf 25}, 315 (1995)] is carried out to investigate the possible existence of deterministic chaos in the edge plasma region. The mathematical tools used include Lyapunov exponents, Kaplan-Yorke dimension, minimum embedding dimension estimates and nonlinear forecasting. The whole analysis agrees in ruling out the possibility of low-dimensional chaos: The dimension of the underlying dynamical system is estimated to be $ > 10$. From a critical re-reading of the literature it emerges that the findings of this work are likely to be common to all reversed field pinches.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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