Abstract
The spatio-temporal dynamics of self-excited ionization waves in a neon glow discharge is experimentally investigated. Various mechanisms leading to ionization waves chaos and turbulence are identified: subharmonics cascade, Ruelle-Takens-Newhouse scenario, and spatio-temporal intermittency. The dynamical states involved in the transition scenarios from stability to chaotic regimes are characterized through both temporal and spatio-temporal analysis by means of the Biorthogonal Decomposition (BD).
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References
M.C. Cross, P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
N.L. Oleson, A.W. Cooper, Adv. Electron. Electron. Phys. 24, 155 (1968).
3. L. Pekärek, J. Krâsa, Proc. of 7th Yugoslav Symposium and Sum. Sch. on the Phys. of Ion. Gaz, edited by V. Vujnovic, pp. 915–957 (1974).
P.S. Landa, N.A. Miskinova, Yu.V. Ponomarev, Sov. Phys. Usp. 23, 813 (1980).
K.-D. Weltmann, H. Deutsch, H. Unger, C. Wilke, Contrib. Plasma Phys. 33, 73 (1993).
K. Ohe, Curr. Top. Phys. Fluids 1, 319 (1994).
N. Aubry, R. Guyormet, R. Lima, J. Nonlin. Sci. 2, 249 (1992).
P. Holmes, J. Lumley, G. Berkooz, J. Mattingly, R. Wittenberg, Phys. Rep. 287, 337 (1997).
T. Dudok de Wit, R. Lima, A.-L. Pecquet, J.-C. Vallet, Phys. Plasmas 1, 3288 (1994).
A. Atipo, X. Caron, G. Bonhomme, T. Pierre, C.R. Acad. Sci. Paris 327, Série II b, 259 (1999).
H.D. Abarbanel, Analysis of observed chaotic data (Springer, New-York, 1995).
H. Kantz, T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, 1997).
P. Grassberger, I. Procaccia, Phys. Rev. Lett. 50, 346 (1983).
M. Sano, Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985).
T. Kruel, M. Eiswirth, F. Schneider, Physica D 63, 117 (1993).
16. A. Dinklage, P. Jonas, C. Wilke, G. Bonhomme, A. Atipo, Proc. of the 1998 ICPP and 25th EPS Conf. on Controlled Fusion and Plasma Physics, Praha, contributed papers (1998).
A. Dinklage, C. Wilke, G. Bonhomme, A. Atipo, Phys. Rev. E 62, 7219 (2000).
C. Grebogi, E. Ott, J.A. Yorke, Phys. Rev. Lett. 48, 1507 (1982).
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UMR 7040 du CNRS.
UMR 6633 du CNRS.
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Atipo, A., Bonhomme, G. & Pierre, T. Ionization waves: from stability to chaos and turbulence. Eur. Phys. J. D. 19, 79–87 (2002). https://doi.org/10.1140/epjd/e20020058
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DOI: https://doi.org/10.1140/epjd/e20020058