Chaotic magnetic field lines in a Tokamak with resonant helical windings

Chaos, solitons and fractals

Volumn 11, Issue 5, 2000, Pages 765-778

  Viana, R L ^a  

^a FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; INTEGRATION; MAGNETIC FIELDS; PERTURBATION TECHNIQUES; PLASMA CONFINEMENT; TOKAMAK DEVICES;

CHAOTIC MAGNETIC FIELD LINES; RESONANT HELICAL WINDINGS; TOROIDAL CORRECTIONS;

CHAOS THEORY;

EID: 0033900248     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00200-8     Document Type: Article

References (31)

1. J. P. Friedberg. Ideal Magnetohydrodynamics, Plenum Press, New York, 1987.
2. J. Wesson. Tokamaks. Oxford University Press, Oxford, 1987.
3. A. Vannucci, I.C. Nascimento, I.L. Caldas, Disruptive instabilities in the discharge of the TBR-1 Tokamak, Plasma Physics and Controlled Fusion 31 (1989) 147-156.
4. F. Karger, H. Wobig, S. Corti, J. Gernhardt, O. Kluber, G. Lisitano, K. McCormick, D. Meisel, S. Sesnick, Sixth International Conference on Plasma Physics and Controlled Nuclear Fusion Research, IAEA, Vienna, vol. 1, 1975, 207.
5. I.L. Caldas, J.M. Pereira, K. Ullmann, R.L. Viana, Magnetic field line mappings for a Tokamak with ergodic limiters, Chaos, Solitons and Fractals 7 (7) (1996) 991-1010.
6. W. Feneberg, The use of external helical windings for the production of a screening layer in ASDEX and a TOKAMAK with a material limiter, Proceedings of the Eighth European Conference of Contr. Fus. and Plas. Phys. 1 (1977) 3.
7. I.H. Tan, I.L. Caldas, I.C. Nascimento, R.P. Silva, E.K. Sanada, R. Bruha, Mirnov oscillations in a small Tokamak, IEEE Transactions on Plasma Science PS-14 (3) (1986) 279-281.
8. K.M. McGuire, D.C. Robinson, Magnetic islands and disruptions in a Tokamak, Proceedings of the European Conference on Controlled Fusion and Plasma Physics 1 (1979) 93.
9. D.C. Robinson, Ten years of results from the TOSCA device, Nuclear Fusion 25 (1985) 1101-1108.
10. J.M. Finn, The destruction of magnetic surfaces in Tokamaks by current perturbations, Nuclear Fusion 15 (1975) 845.
11. M.V.A.P. Heller, I.L. Caldas, A. S. The destruction of magnetic surfaces by resonant helical windings, Plasma Physics and Controlled Fusion 30 (10) (1988) 1203-1211.
12. L.H.A. Monteiro, V. Okano, M.Y. Kucinski, I.L. Caldas, Magnetic structure of toroidal helical fields in Tokamaks, Physics Letters A 193 (1994) 89-93.
13. D.W. Kerst, The influence of errors on plasma-confining magnetic fields, Journal of Nuclear Energy 4C (1962) 253.
14. N.N. Filonenko, R.Z. Sagdeev, G.M. Zaslawsky, Destruction of magnetic surfaces in Tokamaks by magnetic field irregularities: Part II, Nuclear Fusion 7 (1967) 253-256.
15. R.P. Freis, C.W. Hartman, P.M. Hamzeh, A.J. Lichtenberg, Magnetic island formation and destruction in a Levitron, Nuclear Fusion 13 (1973) 533-548.
16. F.M. Hamzeh, Magnetic surface destruction in toroidal systems, Nuclear Fusion 14 (1974) 523-536.
17. K.J. Whiteman, Invariants and stability in classical mechanics, Reports on Progress in Physics 40 (1977) 1033-1069.
18. R.L. Viana, Comment on a Hamiltonian representation for helically symmetric magnetic fields, Plasma Physics and Controlled Fusion 36 (1994) 587-588.
19. R.L. Viana, Hamiltonian representation for magnetic field lines in an exactly soluble model, Brazilian Journal of Physics 25 (3) (1995) 215-218.
20. R.L. Viana, D.B. Vasconcelos, Field-line stochasticity in a Tokamak with an ergodic magnetic limiter, Dynamics and Stability of Systems 12 (2) (1997) 75-88.
21. A.J. Lichtenberg, M.A. Lieberman, Regular and Stochastic Motion, Springer, NY-Berlin-Heidelberg, 1983.
22. A.J. Lichtenberg, Stochasticity as the mechanism for the disruptive phase of the m = 1 Tokamak oscillations, Nuclear Fusion 24 (10)(1984) 1277-1289.
23. A.J. Lichtenberg, K. Itoh, S.-I. Itoh, A. Fukuyama, The role of stochasticity in sawtooth oscillations, Nuclear Fusion 32 (3) (1992) 495-512.
24. H. Goldstein, Classical Mechanics, Addison Wesley, NY, 1980.
25. B.V. Chirikov, A universal instability of many-dimensional oscillator systems, Physics Reports 52 (1979) 265-379.
26. D.F. Escande, Stochasticity in classical Hamiltonian systems: universal aspects, Physics Reports 121 (3-4) (1985) 165-261.
27. J.M. Greene, A method for determining a stochastic transition, Journal of Mathematical Physics 20 (1979) 1183-1201.
28. I.C. Nascimento, I.L. Caldas, R.M.O. Galvão, Tokamak research at University of Sao Paulo, Journal of Fusion Energy 12 (1994) 529.
29. D.F. Escande, M.S. Mohamed-Benkadda, F. Doveil, Threshold of global stochasticity and universality in Hamiltonian systems, Physics Letters 101A (7) (1984) 309-313.
30. M.Y. Kucinski, I.L. Caldas, Toroidal helical fields, Zeitschrift fũr Naturforschung 42a (1987) 1124-1132.
31. M.I. Morozov, L.S. Solovev, The structure of magnetic fields, in Reviews of Plasma Physics (Ed. M.A. Leontovich), 2, Consultants Bureau, NY, 1966.