ON THE CONVERGENCE OF THE METHOD OF LOCAL POTENTIAL IN DETERMINATION OF STATIONARY STATES OF MACRODYNAMICS EQUATIONS

The paper studies the convergence of the variational method of local p otential used to determine the stationary states of macrodynamics syst ems. Ordinary differential equations of macrodynamics with balanced ki netic functions are considered as well as the systems for which the pr operty of balance or detailed balance is satisfied with a certain pert urbation. It is shown that with the correct choice of a parameter, the method of local potential converges to a stationary state of the syst em at the first step. The conditions found in the paper guarantee the convergence of the method while imposing less restrictions on the para meters of the system than the conditions known before. These results c an be used for a numerical analysis of control systems that can be des cribed by macrodynamics equations.