RUS  ENG
Full version
JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

Zhurnal SVMO, 2018, Volume 20, Number 3, Pages 295–303 (Mi svmo708)

The application of Lie algebras and groups to the solution of problems of partial stability of dynamical systems
V. I. Nikonov

References

1. V. I. Vorotnikov, V. V. Rumyantsev, Stability and control with respect to part of the coordinates of the phase vector of dynamical systems: theory, methods and applications, Nauchnyy Mir, Moscow, 2001, 320 pp. (In Russ.)  mathscinet
2. V. V. Rumyantsev, A. S. Oziraner, Stability and stabilization of motion with respect to a part of the variables, Nauka, Moscow, 1987, 256 pp. (In Russ.)
3. V. P. Prokopyev, “On stability with respect to some of the variables in the critical case of a single zero root.”, Journal of Applied Mathematics and Mechanics, 39 (1975), 422-426 (In Russ.)  mathscinet  zmath
4. V. I. Vorotnikov, Stability of dynamical systems with respect to a part of variables, Nauka, Moscow, 1991, 288 pp. (In Russ.)
5. V. I. Vorotnikov, “On the stability of dynamical systems with respect to a part of variables”, Journal of Applied Mathematics and Mechanics, 43 (1979), 441-450 (In Russ.)  mathscinet  zmath
6. P. Olver, Applications of Lie groups to differential equations, Mir, Moscow, 1989, 639 pp. (In Russ.)
7. U. A. Mitropolsky, A. K.Lopatin, The group-theoretical approach in asymptotic methods of nonlinear mechanics, Naukova dumka, Kiev, 1987, 270 pp. (In Ukr.)  mathscinet
8. V. I. Ovsjannikov, Group analysis of differential equations, Nauka, Moscow, 1978, 399 pp. (In Russ.)


© Steklov Math. Inst. of RAS, 2025