Construction of an autogenerator dynamic model applicable to nuclear processes

Abstract

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.

Keywords

• autogenerator
• dynamical system modeling
• phononic excitations
• nuclear processes