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

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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, 2(16), 66-77. https://doi.org/10.36120/2587-3644.v2i16.66-77

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.

https://doi.org/10.36120/2587-3644.v2i16.66-77
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