Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities
1 Тираспольський державний університет, Кишинів, 2064, Республіка Молдова
Ключові слова:
differential systems, polynomial nonlinearities
Анотація
The centro-affine invariant conditions for Lyapunov stability of unperturbed motion in ternary differential systems with polynomial nonlinearities were determined and the centro-affine invariant conditions when a ternary differential system of the Lyapunov-Darboux form with quadratic nonlinearities have a holomorphic integral were obtained. On the base of the integral the stability of unperturbed period motion was studied.
Цитувати
- ACS Style
- Neagu, N.; Козьма, Д.; Popa, M. Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities. Буковинський математичний журнал. 2017, 4
- AMA Style
- Neagu N, Козьма Д, Popa M. Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities. Буковинський математичний журнал. 2017; 4(3-4).
- Chicago/Turabian Style
- Natalia Neagu, Думітру Козьма, Mihail Popa. 2017. "Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities". Буковинський математичний журнал. 4 вип. 3-4.
Експортувати