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

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.

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Publication Details

Journal
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Published
2024-12-01
DOI
https://doi.org/10.36120/2587-3644.v18i2.78-85
Primary Topic
Elasticity and Wave Propagation
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article
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article

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

Natalia NEAGU
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Elasticity and Wave Propagation
article

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

Natalia NEAGU
article en

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.

Acta et commentationes Ştiinţe Exacte şi ale NaturiiVol. 18(2)
Ion Creangă Pedagogical State University (MD)
Openalex Percentile: Top 69%
Elasticity and Wave Propagation
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