Mathematical Model of Microwave Devices on Resonant Tunneling Diodes for Practical Application in Radar and Electronic Systems

The paper presents results obtained after review and analysis of three mathematical models (Van der Pol, Lienard and FitzHugh-Nagumo) for investigation of dynamics of microwave radio-frequency devices based on a resonant tunneling diodes. A simple circuit of a non-autonomous radio-frequency device based on a resonant tunneling diode was proposed. A simplified mathematical model of Van der Pol was used. Mathematical modeling of electrical oscillation dynamics for the non-autonomous radio-frequency device based on a resonant tunneling diode was performed. Phase portraits of the non-autonomous radio-frequency device, time diagrams and amplitude spectra of its input and output signals in modes of fractional multiplication and division of frequency were obtained.