Geodesic
Evolution conditions in the bifurcation problem of plasma cylinder
Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 73-85 
V. V. Nefedov; A. M. Popov. Evolution conditions in the bifurcation problem of plasma cylinder. Matematičeskoe modelirovanie, Tome 2 (1990) no. 2, pp. 73-85. http://geodesic.mathdoc.fr/item/MM_1990_2_2_a5/
@article{MM_1990_2_2_a5,
     author = {V. V. Nefedov and A. M. Popov},
     title = {Evolution conditions in the bifurcation problem of plasma cylinder},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {73--85},
     year = {1990},
     volume = {2},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_2_a5/}
}
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Different statements of problem of plasma cylinder transition from one dimension equilibrium to three one were studied by bifurcation theory methods. In neigbourhood of bifurcation point the solution of nonlinear problem are searched in the functional eigenfunction amplitude series. The dependences of the helical equilibrium characteristics from the bifurcation parameter are presented as bifurcation curves.