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Zbl 1035.34049
Dibl\'ik, J.; Khusainov, D.
Stability of an autonomous system with quadratic right-hand side in the critical case. (English)
[J] Nonlinear Dyn. Syst. Theory 2, No. 2, 145-156 (2002). ISSN 1562-8353

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.
[Robert Hakl (Brno)]
MSC 2000:
*34D20 Lyapunov stability of ODE
34A34 Nonlinear ODE and systems, general
93D30 Scalar and vector Lyapunov functions

Keywords: zero eigenvalue; Lyapunov stability

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