The Routh function is found for a fine plasma filament (toroidal and rectilinear), experiencing smooth long-wave hosepipe and constrictive perturbations in the case in which the external magnetic field is a combination of quadrupole and longitudinal fields. Different variants of dynamic stabilization of a filament are briefly discussed. Combined dynamic stabilization of a straight filament with an alternating current by means of constant quadrupole and longitudinal fields is investigated by averaging with respect to rapid oscillations.
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M. G. Nikulin, “The dynamic stabilization of a plasma filament in a longitudinal magnetic field,” Zh. tekh. fiz.,39, no. 12, 1969.
A. A. Kolomenskii and A. N. Lebedev, The Theory of Cyclic Accelerators [in Russian], Fizmatgiz, Moscow, 1962.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 11, No. 1, pp. 24–31, January–February, 1970.
In conclusion the author wishes to thank M. L. Levin for useful discussions and advice.
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Nikulin, M.G. Dynamic stabilization of thin plasma filaments. J Appl Mech Tech Phys 11, 21–27 (1970). https://doi.org/10.1007/BF01102669
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