Diblík, J.; Khusainov, D. Stability of an autonomous system with quadratic right-hand side in the critical case. (English) Zbl 1035.34049 Nonlinear Dyn. Syst. Theory 2, No. 2, 145-156 (2002). The stability of the trivial solution to an autonomous system of differential equations with quadratic right-hand side is studied. A zone guaranteeing the stability of the trivial solution is given, as well. Reviewer: Robert Hakl (Brno) Cited in 2 Documents MSC: 34D20 Stability of solutions to ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 93D30 Lyapunov and storage functions Keywords:zero eigenvalue; Lyapunov stability PDFBibTeX XMLCite \textit{J. Diblík} and \textit{D. Khusainov}, Nonlinear Dyn. Syst. Theory 2, No. 2, 145--156 (2002; Zbl 1035.34049)