Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities
1 Tiraspol State University, Chisinau, 2064, Republic of Moldova
Keywords:
differential systems, polynomial nonlinearities
Abstract
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.
Cite
- ACS Style
- Neagu, N.; Cozma, D.; Popa, M. Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Neagu N, Cozma D, Popa M. Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Natalia Neagu, Dumitru Cozma, Mihail Popa. 2017. "Invariant methods for studying stability of unperturbed motion in ternary differential systems with polynomial nonlinearities". Bukovinian Mathematical Journal. 4 no. 3-4.
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