Boolean chaos

We observe deterministic chaos in a simple network of electronic logic gates that are not regulated by a clocking signal. The resulting power spectrum is ultrawide band, extending from dc to beyond 2 GHz. The observed behavior is reproduced qualitatively using an autonomously updating Boolean model...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-10, Vol.80 (4 Pt 2), p.045202-045202, Article 045202
Main Authors: Zhang, Rui, de S Cavalcante, Hugo L D, Gao, Zheng, Gauthier, Daniel J, Socolar, Joshua E S, Adams, Matthew M, Lathrop, Daniel P
Format: Article
Language:English
Subjects:
Computer Simulation
Logistic Models
Nonlinear Dynamics
Signal Processing, Computer-Assisted
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Summary:We observe deterministic chaos in a simple network of electronic logic gates that are not regulated by a clocking signal. The resulting power spectrum is ultrawide band, extending from dc to beyond 2 GHz. The observed behavior is reproduced qualitatively using an autonomously updating Boolean model with signal propagation times that depend on the recent history of the gates and filtering of pulses of short duration, whose presence is confirmed experimentally. Electronic Boolean chaos may find application as an ultrawide-band source of radio waves.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.80.045202