Analyze of stability autonomous of nonlinear dynamical systems
Mathematics. Physics. Mechanics
Tver State University,
AbstractThe new method for analyze of stability of nonlinear autonomous dynamical system without introduction function of Lyapunov is elaborated. The reliability of the method is proved theoretically, and its useful is confirmed by results of research the stability of concrete nonlinear autonomous systems of second- and fifth-order.
Keywords:stability; nonlinear; autonomous dynamical system; method; bifurcation set