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

作　　者：魏文崟 梁云峰 Wenyin WEI;Yunfeng LIANG(Institute of Plasma Physics,Hefei Institutes of Physical Science,Chinese Academy of Sciences,Hefei 230031,People’s Republic of China;University of Science and Technology of China,Hefei 230026,People’s Republic of China;Forschungszentrum Jülich GmbH,Institut für Energie-und Klimaforschung-Plasmaphysik,Jülich D-52425,Germany)

机构地区：[1]Institute of Plasma Physics,Hefei Institutes of Physical Science,Chinese Academy of Sciences,Hefei 230031,People’s Republic of China [2]University of Science and Technology of China,Hefei 230026,People’s Republic of China [3]Forschungszentrum Jülich GmbH,Institut für Energie-und Klimaforschung—Plasmaphysik,Jülich D-52425,Germany

出　　处：《Plasma Science and Technology》2023年第9期51-67,共17页等离子体科学和技术（英文版）

基　　金：supported by National Magnetic Confined Fusion Energy R&D Program of China(No.2022YFE03030001);National Natural Science Foundation of China(Nos.12275310 and 12175277);the Science Foundation of Institute of Plasma Physics,Chinese Academy of Sciences(No.DSJJ-2021-01);the Collaborative Innovation Program of Hefei Science Center,CAS(No.2021HSCCIP019).

摘　　要：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 Poincarémap on that cycle,for which an evolution formula is deduced to reveal the relationship among Jacobians of different Poincarésections.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.

关 键 词：magnetic topology TOKAMAK invariant manifold 

分 类 号：TL631.24[核科学技术—核技术及应用]