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.
@article{544, title = {Stability of the equilibrium of nonlinear dynamical systems}, journal = {Tatra Mountains Mathematical Publications}, volume = {72}, year = {2019}, language = {EN}, url = {http://dml.mathdoc.fr/item/544} }
Dzhalladova, Irina A.; Růžičková, Miroslava. Stability of the equilibrium of nonlinear dynamical systems. Tatra Mountains Mathematical Publications, Tome 72 (2019) . http://gdmltest.u-ga.fr/item/544/