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Phys. Rev. E 80, 045202(R) (2009) [4 pages]

Boolean chaos

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Rui Zhang*, Hugo L. D. de S.Cavalcante†, Zheng Gao, Daniel J. Gauthier, and Joshua E. S. Socolar
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA

Matthew M. Adams and Daniel P. Lathrop
Department of Physics, IPST and IREAP, University of Maryland, College Park, Maryland 20742, USA

Received 19 June 2009; revised 28 August 2009; published 27 October 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.045202
DOI:
10.1103/PhysRevE.80.045202
PACS:
05.45.−a, 89.75.Hc, 02.30.Ks, 89.70.Hj

*rz10@phy.duke.edu

†hc71@phy.duke.edu

 
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