This article is cited in 6 papers

Investigation of stability in the theory of nonlinear oscillations

M. M. Khapaev

M. V. Lomonosov Moscow State University

Abstract: uestions of the stability of the equilibrium position for nonlinear oscillating systems relative to perturbations acting constantly on the system are considered. Theorems are proved governing the stability and instability conditions of the equilibrium point of a nonlinear system of general form. The stability is investigated by using Lyapunov function apparatus.

UDC: 517.9

Received: 06.05.1967

 English version: Mathematical Notes, 1968, 3:3, 194–200

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