Abstract
We study an optoelectronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly stable fixed point, which, when subjected to a finite-amplitude perturbation, loses stability initially via a periodic train of ultrafast pulses. We derive approximate mappings that do an excellent job of capturing the observed instability. The oscillator provides a simple device for fundamental studies of time-delay dynamical systems and can be used as a building block for ultrawide-band sensor networks.
Highlights
A deterministically chaotic system displays extreme sensitivity to initial conditions and the spectra of the fluctuating system variables are broadband
For typical chaotic devices, the power spectra often contain several sharp features that stand out above a broad background, which are often associated with weakly unstable periodic orbits that are part of the backbone of the strange attractor
In this Letter, we describe an optoelectronic time-delay oscillator that displays high-speed chaos with an essentially featureless power spectrum
Summary
A deterministically chaotic system displays extreme sensitivity to initial conditions and the spectra of the fluctuating system variables are broadband. In this Letter, we describe an optoelectronic time-delay oscillator that displays high-speed chaos with an essentially featureless power spectrum.
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