Stability and periodical motion of charged particles in crossed-field systems

The stability and periodic motion in nonlinear dynamical systems such as ldquomagnetron dioderdquo and magnetron are considered. To describe nonlinear dynamical system it was made some assumptions. The analysis of nonlinear dynamical systems was made. The behavior of charged particles in such dynamical systems under simple condition was investigated. Such model may be used to show the processes taking part into crossed-field systems under oscillationspsila excitation and as approximation of a model to real device.