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Vector fields, winding number and index, and the Poincare-Hopf theorem.
A short and concise guide to the topic in the title.
to critical_points differential_geometry vector_fields vector_index by prodrigues on Oct 29, 2008, 3:47 PM
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Tokamak Equilibria with Toroidal-Current Reversal in the Plasma Core Consistent with Experimental Data
Paulo Rodrigues, and João P. S. Bizarro Phys. Rev. Lett. 99(12):125001 (September 2007)
to JT-60U current_hole current_reversal equilibrium i-mhd s_theory tokamak by prodrigues on Jan 29, 2010, 5:18 PM
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On the computation of tokamak equilibria with negative core toroidal current
Paulo Rodrigues, and João P. S. Bizarro J. Plasma Physics 72(6):1209–1213 (June 2006)
to JET current_hole current_reversal equilibrium i-mhd s_theory tokamak by prodrigues on Jan 29, 2010, 5:17 PM
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Grad-Shafranov Equilibria with Negative Core Toroidal Current in Tokamak Plasmas
Paulo Rodrigues, and João P. S. Bizarro Phys. Rev. Lett. 95(1):015001 (June 2005)
to JET current_hole current_reversal equilibrium i-mhd s_theory tokamak by prodrigues on Jan 29, 2010, 5:17 PM
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Asymptotic, closed integral solutions for the reconstruction of Grad--Shafranov equilibria in axisymmetric, large-aspect-ratio toroidal plasmas
Paulo Rodrigues, and João P. S. Bizarro Physics of Plasmas 11(1):186-197 (January 2004)
to ASDEX equilibrium i-mhd nested tokamak by prodrigues on Jan 29, 2010, 5:17 PM
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Quasi-steady-state ac plasma current operation in HT-7 tokamak
Jiangang Li, Jiarong Luo, Shaojie Wang, Peng Fu, Biao Shen, Fukun Liu, Baonian Wan, Jiafang Shan, Guosheng Xu, Juan Huang, Jun Yu, Jiansheng Hu, Qiping Yuan, Yeming Hu, and HT-7 Team Nuclear Fusion 47(9):1071-1077 (August 2007)
to ac_operation analytical current_reversal equilibrium i-mhd tokamak by prodrigues on Jan 27, 2010, 8:57 PM
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Tokamak plasma equilibria with a zero total toroidal current
Yemin Hu Physics of Plasmas 15(2):022505 (February 2008)
to ac_operation current_reversal equilibrium i-mhd tokamak by prodrigues on Jan 27, 2010, 8:49 PM
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Current reversal equilibrium configurations in the alternating-current operation of tokamaks
Jun Yu, Shaojie Wang, and Jiangang Li Physics of Plasmas 13(5):054501 (May 2006)
to ac_operation analytical current_reversal equilibrium i-mhd tokamak by prodrigues on Jan 27, 2010, 8:36 PM
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Variational moment method for computing magnetohydrodynamic equilibria
L. L. Lao Computer Physics Communications 31(2-3):201-212 (August 1984)
to anisotropic_pressure equilibrium flow free_boundary i-mhd nested tokamak vmec by prodrigues on Dec 3, 2009, 6:05 PM
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Review of the Equilibrium Fitting for Non-Circular Tokamak
J. Luo Plasma Science and Technology 4(2):1183-1192 (2002)
to efit equilibrium i-mhd nested tokamak by prodrigues on Dec 3, 2009, 5:56 PM
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Design of the Joint European Torus motional stark effect diagnostic
N. C. Hawkes, K. Blackler, B. Viaccoz, C. H. Wilson, J. B. Migozzi, and B. C. Stratton Review of Scientific Instruments 70(1):894-897 (January 1999)Proceedings of the 12th topical conference on high temperature plasma diagnostics. .
to JET MSE diagnostics tokamak by prodrigues on Dec 2, 2009, 5:08 PM
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Axisymmetric Tri-Magnetic-Islands Equilibrium of Strongly-Reversed-Shear Tokamak Plasma: An Idea for the Current Hole
Tomonori Takizuka Journal of Plasma and Fusion Research 78(12):1282-1284 (December 2002)
to current_hole current_reversal equilibrium i-mhd stability tokamak by prodrigues on Dec 2, 2009, 4:57 PM
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An exact solution of the Grad--Shafranov--Helmhotz equation with central current density reversal
Shaojie Wang, and Jun Yu Physics of Plasmas 12(6):062501 (May 2005)
to analytical current_hole current_reversal equilibrium i-mhd tokamak by prodrigues on Nov 30, 2009, 11:58 PM
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Theory of Tokamak Equilibria with Central Current Density Reversal
Shaojie Wang Phys. Rev. Lett. 93(15):155007 (October 2004)
to current_hole current_reversal equilibrium i-mhd tokamak by prodrigues on Nov 30, 2009, 11:58 PM
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Tokamak Equilibria with Reversed Current Density
A. A. Martynov, S. Yu. Medvedev, and L. Villard Phys. Rev. Lett. 91(8):085004 (August 2003)
to JET current_hole current_reversal equilibrium i-mhd tokamak by prodrigues on Nov 30, 2009, 11:45 PM
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Current Clamp at Zero Level in JT-60U Current Hole Plasmas
T. Fujita, T. Suzuki, T. Oikawa, A. Isayama, T. Hatae, O. Naito, Y. Sakamoto, N. Hayashi, K. Hamamatsu, S. Ide, and H. Takenaga Phys. Rev. Lett. 95(7):075001 (August 2005)
to JT-60U current_hole current_reversal equilibrium i-mhd tokamak by prodrigues on Sep 16, 2009, 6:39 PM
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Simulation studies of the role of reconnection in the ``current hole'' experiments in the Joint European Torus
J. A. Breslau, S. C. Jardin, and W. Park Physics of Plasmas 10(5):1665-1669 (May 2003)
to JET current_hole current_reversal r-mhd reconnection tokamak by prodrigues on Jul 31, 2009, 4:30 PM
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The role of axisymmetric reconnection events in JET discharges with extreme shear reversal
B C Stratton, J A Breslau, R V Budny, S C Jardin, W Park, H R Strauss, L E Zakharov, B Alper, V Drozdov, N C Hawkes, S Reyes-Cortes, and contributors to the EFDA-JET Workprogramme Plasma Physics and Controlled Fusion 44(7):1127 (June 2002)
to ITB JET current_hole current_reversal equilibrium esc i-mhd nested r-mhd reconnection tokamak by prodrigues on Jul 31, 2009, 4:29 PM
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Electron inertia effects on $m = 1$ instability in a cylindrical tokamak with a negative central current
A. Ishizawa, M. Sato, and M. Wakatani Physics of Plasmas 10(7):3017-3019 (July 2003)
to current_hole current_reversal r-mhd reconnection tokamak by prodrigues on Jul 31, 2009, 2:31 PM
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MHD Stability of Advanced Tokamak Scenarios with Reversed Central Current: An Explanation of the ``Current Hole''
G. T. A. Huysmans, T. C. Hender, N. C. Hawkes, and X. Litaudon Phys. Rev. Lett. 87(24):245002 (November 2001)
to JET current_hole current_reversal equilibrium r-mhd reconnection stability tokamak by prodrigues on Jul 9, 2009, 11:53 AM
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Guiding centre simulation of the bootstrap current in a plasma with a current hole
A. Bergmann, E. Strumberger, and A.G. Peeters Nuclear Fusion 45(11):1255-1263 (November 2005)
to bootstrap current_hole i-mhd tokamak by prodrigues on Jul 6, 2009, 7:16 PM
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