Parameter ranges for the onset of period doubling in the diode resonator

Abstract

One of the classic problems in the study of nonlinear dynamics has been the diode resonator. Previous work with the diode resonator sought to explain the causes of period doubling and chaos, and often used simplified models. This paper instead seeks to link the onset of nonlinear dynamical effects to measurable parameters by comparing experiments and numerical models.

Electromagnetic Interference Impact on Front-End Receivers Outside the Antenna Bandwidth

“…The chaotic behaviour has already been observed in a microwave limiter circuit [1], in 'R-L-diode' circuits [2][3][4][5][6][7] and also in VHF microstrip oscillator [8]. The doubling period has been observed in 'line-diode' circuits in the case of partial reflection [7].…”

Period Doubling Analysis on the SBD in Microwave Transmission Line

“…Whether a simple circuit can produce period doubling and chaos is one of the most challenging problems in the field of chaos [1][2][3]. The driven RLD circuit is studied widely because of its typicality [4][5][6]. With further research in nonlinear systems, many types of diodes, such as ordinary diode, SiC, and PIN diode, have been put to use, but SBD has never been adopted [7,8].…”

“…Previous studies have shown that nonlinear capacitance and reverse recovery time are the main necessary conditions for producing chaos and period doubling. There have been different schools of thought debating which is the main reason, but some viewpoints consider that the two views are essentially the same [4].…”

Chaotic Behavior in Receiver Front-End Limiters

“…The chaotic behavior has already been observed in a microwave limiter circuit [4], in 'R-L-Diode' circuits [5] and also in VHF microstrip oscillator [6]. Some theoretical approaches have been proposed for diode resonator [7,8]. In this paper, we present a theoretical study in order to understand the origin of microwave chaotic behavior in front-end RF limiter circuits.…”