圆柱坐标系下不变流形生长公式及其在磁约束聚变中的应用

IF 1.6 3区物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS

Plasma Science & Technology Pub Date : 2023-06-06 DOI:10.1088/2058-6272/accbf5

Wenyin Wei, Yunfeng Liang

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引用次数: 0

摘要

摘要对于三维向量场，给出了在圆柱坐标系下由双曲循环生长的不变流形的控制公式。初始生长方向依赖于该循环上庞卡罗莱图的雅可比矩阵，并推导出一个演化公式来揭示不同庞卡罗莱剖面的雅可比矩阵之间的关系。该演化公式也适用于任意有限n维自主连续动力系统中的循环。Non-Möbiusian/Möbiusian分析构造了鞍循环和假x循环作为论证。给出了EAST上磁场时片分析的实际数值实例。

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Invariant manifold growth formula in cylindrical coordinates and its application for magnetically confined fusion

Abstract For three-dimensional vector fields, the governing formula of invariant manifolds grown from a hyperbolic cycle is given in cylindrical coordinates. The initial growth directions depend on the Jacobians of Poincaré map on that cycle, for which an evolution formula is deduced to reveal the relationship among Jacobians of different Poincaré sections. The evolution formula also applies to cycles in arbitrary finite n -dimensional autonomous continuous-time dynamical systems. Non-Möbiusian/Möbiusian saddle cycles and a dummy X-cycle are constructed analytically as demonstration. A real-world numeric example of analyzing a magnetic field timeslice on EAST is presented.

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来源期刊

Plasma Science & Technology 物理-物理：流体与等离子体

CiteScore

3.10

自引率

11.80%

发文量

3773

审稿时长

3.8 months

期刊介绍： PST assists in advancing plasma science and technology by reporting important, novel, helpful and thought-provoking progress in this strongly multidisciplinary and interdisciplinary field, in a timely manner. A Publication of the Institute of Plasma Physics, Chinese Academy of Sciences and the Chinese Society of Theoretical and Applied Mechanics.