Journal of Theoretical
and Applied Mechanics

14, 1, pp. 137-148, Warsaw 1976

O pewnej nowej metodzie analizy stateczności rozwiązań układów nieliniowych o jednym stopniu swobody

Alicja Pieniążek, Wiesław Pieniążek
In this paper, a certain method of investigating the stability of nonlinear systems presented in [1] is compared with some existing methods. Common features and new elements of this method are exposed. The algorithm used in the method is applied for investigation of the stability of Rayleigh's equation with nonlinear elasticity characteristics. The limit cycle for that equation is presented in Fig. 1. Stability of the limit cycle is proved in the present paper.