METHODS OF DIRECT LINEARIZATION FOR CALCULATION OF NONLINEAR OSCILLATIONS

摘要

Methods of calculation of nonlinear oscillatory systems by means of direct linearization of nonlinearities are described. In all real systems the fluctuations covering all lifeless and live matter in which continuously changing mode of movement is inherent are shown. These systems are divided into different types: physical, chemical, biological, economic, etc. Despite such division, the general property of the dynamic systems is the condition of interaction mathematically described by nonlinear equations. Use of the linear equations is connected with difficulties of finding solutions of the nonlinear equations for these systems. Linear models represent the first approach to reality and are fair only at small changes of the parameters describing behavior of objects.