Abstract
The various dynamical regimes of collisional drift waves in a magnetized plasma column are experimentally studied. These unstable low-frequency electrostatic waves are related with strong modulations of the ion and electron density. The angular velocity of the rotating plasma column is the control parameter of the dynamics: regular, chaotic and turbulent regimes are obtained. The spatial extension of the system allows for the occurrence of spatiotemporal chaos. The time-delay auto-synchronization method of controlling chaos [K. Pyragas, Phys. Lett. A 170, 421 (1992)] though purely temporal is successfully applied. A numerical study using coupled nonlinear oscillators exhibiting chaos is compared to the experimental results. The control method is tested on this model.
Similar content being viewed by others
References
M. Munkel, F. Kaiser, O. Hess, Phys. Rev. E 56, 3868 (1997).
E.M. Marshall, R.F. Ellis, J.E. Walsh, Plasma Phys. Control. Fusion 28, 1461 (1986).
R.F. Ellis, E. Marden-Marshall, R. Majeski, Plasma Phys. 22, 113 (1980).
E. Ott, C. Grebogy, J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
K. Pyragas, Phys. Lett. A 170, 421 (1992).
Th. Pierre, G. Bonhomme, A. Atipo, Phys. Rev. Lett. 76, 2290 (1996).
M.E. Bleich, J.E.S. Socolar, Phys. Rev. E 54, R17 (1996).
R.O. Grigoriev, M.C. Cross, H.G. Schuster, Phys. Rev. Lett. 79, 2795 (1996).
K. He, G. Hu, Phys. Rev. E 53, 2271 (1996).
S. Boccaletti, D. Maza, H. Mancini, R. Genesio, F.T. Arecchi, Phys. Rev. Lett. 79, 5246 (1997).
H.G. Schuster, M.B. Stemmler, Phys. Rev. E 56, 6410 (1997).
Th. Pierre, G. Leclert, F. Braun, Rev. Sci. Instrum. 58, 6 (1987).
F.F. Chen, Introduction to plasma physics and controlled fusion (Plenum Press, New-York, 1984).
A. Latten, T. Klinger, A. Piel, T. Pierre, Rev. Sci. Instrum. 66, 3254 (1995).
T. Klinger, A. Latten, A. Piel, G. Bonhomme, Th. Pierre, Plasma Phys. Control. Fusion 39, B145 (1997).
T. Klinger, A. Latten, A. Piel, G. Bonhomme, Th. Pierre, T. Dudok de Wit, Phys. Rev. Lett. 79, 3913 (1997).
H.D.I. Abarbanel, Analysis of observed chaotic data (Springer, 1996).
T.M. Kruel, M. Eiswirth, F.W. Schneider, Physica D 63, 117 (1993).
F. Takens, Dynamical systems and turbulence, Springer Lecture Notes in Mathematics 868 (New-york, Springer Verlag, 1981), p. 366.
E. Gravier, X. Caron, G. Bonhomme, Th. Pierre, Phys. Plasmas (to be published, 1999).
W. Just, T. Bernard, M. Ostheimer, E. Reibold, H. Benner, Phys. Rev. Lett. 78, 203 (1997).
G. Hu, Z. Qu, Phys. Rev. Lett. 72, 68 (1994).
D. Auerbach, Phys. Rev. Lett. 72, 1184 (1994).
G.A. Johnson, M. Locher, E.R. Hunt, Phys. Rev. E 51, R1625 (1995).
J. Jiang, A. Antillon, P. Parmananda, J. Escalona, Phys. Rev. E 56, 2568 (1997).
N. Parekh, V. Ravi Kumar, B.D. Kulkami, Chaos 8, 300 (1998).
A. Amengual, E. Hernandez-Garcia, R. Montagne, M. San Miguel, Phys. Rev. Lett. 78, 4379 (1997).
L. Kocarev, U. Parlitz, Phys. Rev. Lett. 77, 2206 (1996).
J. Yang, G. Hu, J. Xiao, Phys. Rev. Lett. 80, 496 (1998).
N.F. Rulkov, M.M. Sushchik, L.S. Tsimring, H.D.I. Abarbanel, Phys. Rev. E 51, 980 (1995).
G. Hu, J. Xiao, J. Yang, F. Xie, Z. Qu, Phys. Rev. E 56, 2738 1997.
K. Murali, M. Lakshmanan, Phys. Rev. E 49, 4882 (1994).
T. Kapitaniak, Phys. Rev. E 50, 1642 (1994).
H. Chaté, P. Manneville, Physica D 32, 409 (1988).
P. Bergé, Y. Pomeau, C. Vidal, L’espace chaotique (Hermann, 1988).
Author information
Authors and Affiliations
Corresponding author
Additional information
ESA 7040 du CNRS
UMR 6633 du CNRS
Rights and permissions
About this article
Cite this article
Gravier, E., Caron, X., Bonhomme, G. et al. Dynamical study and control of drift waves in a magnetized laboratory plasma. Eur. Phys. J. D 8, 451–457 (2000). https://doi.org/10.1007/s100530050055
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s100530050055