Nonlinear dynamics and chaos in a circuitry model of magnetron

The basic operation principle of microwave oscillators, such as magnetrons, is based on the motion of electrons under a combined influence of electric and magnetic fields. In such process, the DC energy is converted into the RF energy via the interaction process between the electrons and the surrounding electromagnetic field. This nonlinear process provides sufficient conditions in generating rather complicated dynamics, even chaos. In this paper, a circuitry model is utilized to simulate the fundamental operation dynamics of a magnetron by considering its electrical and geometrical characteristics.