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On the approximations and bifurcations of a dynamic system. (English. Russian original) Zbl 0258.34033
J. Appl. Math. Mech. 35, 735-751 (1971); translation from Prikl. Mat. Mekh. 35, 780-796 (1971).
MSC:
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
34A45 Theoretical approximation of solutions to ordinary differential equations
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References:
[1] Bautin, N.N., On approximations and the coarseness [structural stability] of the parameter space of a dynamic system, Pmm, Vol. 33, N≗6, (1969) · Zbl 0228.93001
[2] Zhukovskii, N.E., On the soaring of birds, () · Zbl 0041.52407
[3] Fuchs, R.; Hopf, L.; Seewald, F., Aerodynamik, (1934), Springer Berlin · JFM 61.0905.01
[4] Krylov, N.M.; Bogolyubov, N.N., Investigation of the longitudinal stability of an airplane, (1932), Gos. Aviats. i Avtotrakt. Izd Moscow
[5] Pröll, A., Zur mechanik der Längsbewegung von flugzeug, Zamm, Vol. 4, N≗15, (1935) · JFM 61.0919.01
[6] Ikonnikov, E., On the dynamics of symmetrical flight of an aeroplane, Technical physics of the USSR, Vol. 4, N≗6, (1937) · JFM 63.1025.03
[7] Bautin, N.N., On the nearly fugoid longitudinal motions of an aircraft, (1947), Uch. Zap. Gor’kovsk. Gos. Univ, N≗13
[8] Bautin, N.N., Behavior of dynamic systems near the boundaries of the stability domain, (1949), Gostekhizdat Moscow-Leningrad
[9] Beliustina, L.N., On the dynamics of symmetric flight of an aircraft, ()
[10] Andronov, A.A.; Leontovich, E.A.; Gordon, I.I.; Maier, A.G., The theory of bifurcations of dynamic systems on a plane, (1967), Nauka Moscow
[11] Gubar’, N.A., Bifurcations in the vicinity of a “fused focus”, Pmm, Vol. 35, N≗5, (1971) · Zbl 0259.34027
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