Analyze of stability autonomous of nonlinear dynamical systems

Mathematics. Physics. Mechanics


Аuthors

Katulev A. N., Kuznetsov A. U.

Tver State University,

Abstract

The 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


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