On  stability of some examples of ternary differential critical systems with quadratic nonlinearities

Natalia Neagu; Mihail Popa

doi:10.36120/2587-3644.v16i2.66-77

Vol 16 No 2 (2023), Статьи

Vol 16 No 2 (2023)

On stability of some examples of ternary differential critical systems with quadratic nonlinearities

Статьи

https://doi.org/10.36120/2587-3644.v16i2.66-77

Published January 17, 2024

Natalia Neagu⁺⁻
Mihail Popa⁺⁻

Natalia Neagu

"Ion Creangă" State Pedagogical University, 5 Gh. Iablocikin st., Chișinău, Republic of Moldova

Mihail Popa

Moldova State University, "V. Andrunachievici" Institute of Mathematics and Computer Sciences, 5 Academiei st., Chișinău;

Supplementary Files

pdf

Keywords

differential system
stability of unperturbed motion
differential system of generalized Darboux type
the intrinsic transmission dynamics of tuberculosis

How to Cite

Neagu, N., & Popa, M. (2024). On stability of some examples of ternary differential critical systems with quadratic nonlinearities. Acta Et Commentationes Exact and Natural Sciences, 16(2), 66-77. https://doi.org/10.36120/2587-3644.v16i2.66-77

Abstract

Starting with Example 1 of A.M. Lyaponov's thesis [1] (§32), which represents a ternary differential system with quadratic nonlinearities, examples of differential systems of the generalized Darboux type were constructed in the critical case. The stability conditions of the unperturbed motion described by these systems were determined.