Construction of an autogenerator dynamic model applicable to nuclear processes

We propose a new method for constructing a mathematical model of a non-linear system in an auto-oscillation regime. The method is based on the divergence of a vector field having a constant value along the corresponding periodical motion. The variants of the obtained model could be used for describing nuclear processes that are represented by the systems of differential equations analogous to that of the presented model. U radu se iznosi predlog nove metode za konstruisanje matematickog modela nelinearnog sistema u auto-oscilujucem rezimu. Metoda se zasniva na osobini divergencije vektorskog polja da ima konstantnu vrednost duz zadatog periodicnog kretanja. Varijante ovako dobijenog modela mogu da se koriste za opisivanje nuklearnih procesa koji se predstavljaju sistemima diferencijalnih jednacina analognim sistemu izlozenog modela. PR Projekat Ministarstva nauke Republike Srbije, br. 171007