Open AccessLyapunov’s stability of the unperturbed motion governed bythe
Author(s) -
Natalia Neagu,
Mihail Popa
Publication year - 2022
Publication title -
acta et commentationes: ştiinţe exacte şi ale naturii
Language(s) - English
Resource type - Journals
eISSN - 2587-3644
pISSN - 2537-6284
DOI - 10.36120/2587-3644.v12i2.74-81
Subject(s) - lyapunov function , mathematics , lyapunov equation , motion (physics) , stability (learning theory) , lyapunov exponent , series (stratigraphy) , mathematical analysis , lyapunov stability , ternary operation , lyapunov redesign , differential equation , physics , classical mechanics , nonlinear system , computer science , paleontology , quantum mechanics , machine learning , biology , programming language
There were obtained the conditions of stability after Lyapunov of the unper-turbed motion for the system S3 (1,3) in the non-critical case. It was constructed the Lyapunov series for the ternary differential system S3 (1,3) of Darboux type in the critical case and determined the conditions of stability of the unperturbed motion governed by this system.