Рихвицкий В.С. 

Dubovik V.M., Galperin A.G., Richvitsky V.S., Slepnyov S.K.

 

The conditions of existence of first integrals and Hamiltonian structures of Lotka-Volterra and Volterra systems.

A study of a certain subset of Volterra equations has revealed that some statements about time-independent constants of  motion, Hamiltonian functions and Poisson structure matrices appearing in the Lotka-Volterra equations, regarded as proven, or of the sort that they could be proved, are not valid, in fact. Particular cases are given as examples to explain the reasons for  the occurring phenomena.

 Рихвицкий В.С.