Some possible scenarios of the two-parameter dynamic system evolution

Interrelation of two leading parameters of a dynamic system in evolution has been considered. Homogeneous system of first-order differential equations with two unknown functions has been solved for some special cases of time-varying equation coefficients. Physical interpretation of the examples considered has been presented. It has been determined that a character of change for the leading parameters of the dynamic system depends on a type of functions-coefficients composing the differential equation system. If one function is proportional to another one, a concerted change of the leading parameters in time is observed. If the functions are different, both concerted and non-concerted change of the dynamic system parameters is possible.