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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 3, Pages 474–479 (Mi vspua27)

On the stability of the zero solution of a periodic reversible second-order differential equation
Yu. N. Bibikov

References

1. Moser J., “Convergent series expansions for quasi-periodic motions”, Math. Ann., 169 (1967), 136–176  mathnet  mathscinet
2. Bibikov Yu.N., Multifrequency nonlinear oscillations and their bifurcations, Leningrad University Press, L., 1991 (Russian)  mathscinet
3. Lyapunov A.M., “Investigation of one particular case of the problem of stability of motion.”, Collected works, v. 2, Izdatel'stvo AN SSSR, M.–L., 1956, 272–331 (Russian)  mathscinet
4. Bibikov Yu.N., “Application of Moser's theorem to the study of differential equations of nonlinear oscillations”, Dokl. AN SSSR, 225:6 (1975), 1241–1244 (Russian)  mathnet  mathscinet
5. Basov V.V., Bibikov Yu.N., “On the stability of the equilibrium position in one case of periodic perturbation of the center”, Differ. Equ., 33:5 (1997), 587–590  mathnet  mathscinet
6. Bibikov Yu.N., Savelyeva A.G., “Periodic disturbances of the non-conservative center”, Differ. Equ., 54:3 (2018), 295–299  crossref  crossref
7. Basov V.V., Bibikov Yu.N., “On the stability of “nonlinear center” under quasiperiodic perturbations”, Vestnik St Petersb. Univ. Math., 53 (2020), 174–179  mathnet  crossref  crossref


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