Stability conditions of unperturbed motion governed by the ternary differential system of Lyapunov-Darboux type with nonlinearities of fifth degree
Vol 18 No 2 (2024), Статьи
Vol 18 No 2 (2024)

Stability conditions of unperturbed motion governed by the ternary differential system of Lyapunov-Darboux type with nonlinearities of fifth degree

Статьи
https://doi.org/10.36120/2587-3644.v18i2.78-85
Published January 10, 2025
Natalia Neagu
“Ion Creanga” State Pedagogical University of Chisinau, 1 Ion Creanga st.; “Vladimir Andrunachievici” Institute of Mathematics and Computer Sciences, Moldova State University, 5 Academiei St., Chisinau, Republic of Moldova

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Keywords

differential system
stability of unperturbed motion
critical equation
non-critical equation
Lyapunov series

How to Cite

Neagu, N. (2025). Stability conditions of unperturbed motion governed by the ternary differential system of Lyapunov-Darboux type with nonlinearities of fifth degree. Acta Et Commentationes Exact and Natural Sciences, 18(2), 78-85. https://doi.org/10.36120/2587-3644.v18i2.78-85
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Abstract

In this paper, there was studied Lyapunov stability of the unperturbed motion for the ternary differential system with nonlinearities of fifth degree on a center-affine variety. The Lyapunov series was constructed and the stability conditions of the unperturbed motion governed by this system were determined in the critical case.
https://doi.org/10.36120/2587-3644.v18i2.78-85
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