Abstract
The family of dynamic current-voltage characteristics obtained from gas mixture of CO2 laser at different frequencies of modulation of the discharge current is described by means of the catastrophe theory. It is shown that in the region of critical points of current-voltage characteristics it is possible to obtain not only qualitative, but also quantitative characteristics of controlling parameters. The best coincidence with the experimental results has been obtained for “dovetail” catastrophes.
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References
Knorr, G., Plasma Phys. and Controlled Fusion, 1984, vol. 26, p. 949.
Yong, J., Haida, W., and Changxuan, Yu, Chin. Phys. Lett., 1988, vol. 5, p. 201.
Mkrtchyan, A.R., Abrahamyan, A.S., Kostanyan, R.B., Haroyan, K.P., and Mkrtchyan, K.S., J. Contemp. Phys. (Armenian Ac. Sci.), 2005, vol. 40, no. 3, p. 47.
Gilmore, R., Catastrophe Theory for Scientists and Engineers, New York: Wiley, 1981.
Poston, T. and Stewart, I., Catastrophe Theory and its Applications, London: Pitman, 1978.
Ingard, U., Phys.Rev., 1966, vol. 145, p. 41.
Mkrtchyan, A.R., Abrahamyan, A.S., Haroyan, K.P., Bezhanyan, T.Zh., Mkrtchyan, K.S., and Kostanyan, R.B., Materials of All-Russian Conference on Physics of Low-Temperature Plasma, PLTP-2004, Petrozavodsk, 2004, vol. 1, p. 127.
Ventzel, E.S., Teoriya veroyatnosti (Theory of Probability), Moscow: Nauka, 1969.
Bessonov, L.A., Teoreticheskie osnovy elektrotekhniki (Theoretical Foundations of Electrotechnology), Moscow: Vysshaya shkola, 1967.
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Original Russian Text © A.S. Abrahamyan, A.S. Mikayelyan, Q.G. Sahakyan, B.V. Khachatryan, 2011, published in Izvestiya NAN Armenii, Fizika, 2011, Vol. 46, No. 4, pp. 283–288.
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Abrahamyan, A.S., Mikayelyan, A.S., Sahakyan, Q.G. et al. Using of catastrophe theory for processing of experimental results measured in low-temperature plasma. J. Contemp. Phys. 46, 172–176 (2011). https://doi.org/10.3103/S1068337211040074
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DOI: https://doi.org/10.3103/S1068337211040074