ON STABILITY OF SOME EXAMPLES OF TERNARY DIFFERENTIAL CRITICAL SYSTEMS WITH QUADRATIC NONLINEARITIES

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 determinedPornind de la Exemplul 1, din teza lui A. M. Lyaponov [1] (§32), ce const˘a dintr-un sistem diferent¸ial ternar cu nelinearit˘at¸i p˘atratice, ˆın cazul critic, au fost construite mai multe exemple de sisteme diferent¸iale de tip generalizat Darboux. Pentru aceste sisteme au fost determinate condit¸iile de stabilitate a mis¸c˘arii neperturbate.