| Abstract: | We examine the relationship between conservation laws and invariants of differential equations in problems dealing with the transformation of waves in a plasma and also the relationship of the invariants with the stability of oscillations locked in a nonhomogeneous medium and with the stability of oscillations of connected oscillators whose parameters vary randomly with time.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 9–17, November–December, 1970.The author wishes to thank S. S. Moiseev and V. D. Shapiro for valuable advice and consultation. |
