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Abstract
A large number of simultaneous frequency and amplitude data from an electronic chaotic circuit (Chua's circuit) have been obtained. These acquisitions are validated by plotting the bifurcation diagrams of the experimental data versus the bifurcation parameter. We introduce a topological parallel between the Colpitts oscillator and Chua's circuit, and look for similar behavior of the frequency fluctuations using the Allan deviation.
Highlights
Chua’s circuit is a nonlinear electronic circuit which exhibits chaotic behavior for high enough values of one of its parameters, the inductor’s value in our case
We have studied the characteristics of the frequency and amplitude fluctuations of the oscillator in the periodic and chaotic regimes
A preliminary study shows a large variation in the shape of the power spectra (Fig. 2) observed on Chua’s circuit for various kinds of attractors
Summary
Chua’s circuit is a nonlinear electronic circuit which exhibits chaotic behavior for high enough values of one of its parameters, the inductor’s value in our case. We have studied the characteristics of the frequency and amplitude fluctuations of the oscillator in the periodic and chaotic regimes (while the signal is still pseudo-periodic, i.e. before the bifurcation towards the double-scroll regime). The amplitude and period of successive oscillations were measured and analyzed by plotting the return maps, the transfer functions and the bifurcation diagrams. The type of fluctuations were characterized using the Allan deviation, and compared to the classical results obtained for a quartz resonator based Colpitts oscillator
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