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Unified model and reverse recovery nonlinearities of the driven diode resonator Renato Mariz de Moraes* and Steven M. Anlage
 

Summary: Unified model and reverse recovery nonlinearities of the driven diode resonator
Renato Mariz de Moraes* and Steven M. Anlage
Center for Superconductivity Research, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
Received 26 November 2002; published 1 August 2003
We study the origins of period doubling and chaos in the driven series resistor-inductor-varactor diode
(RLD) nonlinear resonant circuit. We find that resonators driven at frequencies much higher than the diode
reverse recovery rate do not show period doubling. Models of chaos based on the nonlinear capacitance of the
varactor diode display a reverse-recovery-like effect, and this effect strongly resembles reverse recovery of real
diodes. We find for the first time that in addition to the known dependence of the reverse recovery time on past
current maxima, there are also important nonlinear dependencies on pulse frequency, duty cycle, and dc
voltage bias. Similar nonlinearities are present in the nonlinear capacitance models of these diodes. We con-
clude that a history-dependent and nonlinear reverse-recovery time is an essential ingredient for chaotic
behavior of this circuit, and demonstrate for the first time that all major competing models have this effect,
either explicitly or implicitly. Besides unifying the two major models of RLD chaos, our work reveals that the
nonlinearities of the reverse-recovery time must be included for a complete understanding of period doubling
and chaos in this circuit.
DOI: 10.1103/PhysRevE.68.026201 PACS number s : 05.45.Ac, 07.50.Ek, 85.30.Kk, 05.45.Gg
I. INTRODUCTION
The nonlinear dynamics of the p-n junction has been a
subject of intense interest since the dawn of chaos 18 .

  

Source: Anlage, Steven - Center for Superconductivity Research & Department of Physics, University of Maryland at College Park

 

Collections: Materials Science