Stability of the equilibrium of nonlinear dynamical systems

Irina A. Dzhalladova, Miroslava Růžičková

Abstract


The algorithm for estimating the stability domain of  zero equilibrium to the system of nonlinear differential equations with  quadratic part and with a fractional  part  is proposed in the article.  The second Lyapunov method with quadratic Lyapunov functions is used as a method for studying  such systems.

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