CORRECTION

In the article by V. I. Gaiduk, “On nonlinear oscillations in a weak external field described by Lagrange’s equations,” published in Doklady Akademii Nauk, vol. 133, no. 4, 1960, the following should be read:

system (1)

\[ \frac{d}{dt}\frac{\partial L}{\partial \dot q_k}-\frac{\partial L}{\partial q_k}=Q_k \quad (k=1,\ldots,n); \tag{1} \]

system (2)

\[ \frac{d}{dt}\frac{\partial L}{\partial \dot q_k}-\frac{\partial L}{\partial q_k}=0; \tag{2} \]

system (10)

\[ \frac{da}{dt}=\frac{1}{E'(a)}Q\dot q; \qquad \frac{d\psi}{dt}=\omega(a)\left[1-\frac{1}{E'(a)}Q\frac{\partial q(a,\psi)}{\partial a}\right]. \tag{10} \]

system (19)

\[ \frac{d\omega'_k}{dt}=v_k-\ldots \tag{19} \]