Publication: Modeling The Nonlinear Behaviour Of A Driven Varactor Resonator At Low Frequencies
Date
2006-12
Authors
Kalomiros, John A.
Stavrinides, Stavros G.
Miliou, Amalia N.
Özer, Mehmet
Bulat, Taner
Journal Title
Journal ISSN
Volume Title
Publisher
İstanbul Kültür Üniversitesi Yayınları
Abstract
We monitor the theoretical response of an R-L-Varactor circuit by using Multisim 7.0, at a driving
frequency f= 1MHz with high driving amphtudes. Atlow frequencies a bifurcation is observed,
attributed to the large capacitance emerging from the carrier injection at reverse-bias breakdown. By
inereasing driving amplitude we observe non-periodic trajectories with increasing chaotic content in a
four dimensional state-space. At specific amplitudes we monitor two-dimensional tori where
trajectories are periodic, like in a two-oscillatorssystem with commensurate frequencies. The
scenario from quasi-periodocity to chaos is discussed by means of estabhshed tools, hke the circle
map, Poincare cross sections, power and FFT spectra, correlation dimension and Kolmogorov
entropy. Peak amphtudes of the monitored waveforms are shown to form an interesting pattem of
well defined groups, within the resolution ofthe numerical solutions produced by the simulation.
Description
Keywords
nonlinear, resonator, varactor, rezonatör, varaktör, doğrusal olmayan, low frequencies, düşük frekanslar