Cited by 79Chaos control and synchronizationCellular Automata and ApplicationsNonlinear Dynamics and Pattern Formation

Boolean chaos

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Zhang, Rui, de S.Cavalcante, Hugo L. D., Gao, Zheng, Gauthier, Daniel J., Socolar, Joshua E. S., Adams, Matthew M., Lathrop, Daniel P.·2009·Physical Review E

Abstract

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.

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Research works printed but not linked: 2

  1. [6]A. Pomerance, E. Ott, M. Girvan, and W. Losert, Proc. Natl. Acad. Sci. 106 , 8209 (2009).
  2. [14]M. J. Bellido-D´ ıaz, J. Juan-Chico, A. J. Acosta, M. Valencia, and J. L. Huertas, IEE Proc. Circuits Devices Syst. 147 , 107 (2000).

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Authors
Zhang, R., de S.Cavalcante, H. L. D., Gao, Z., Gauthier, D. J., Socolar, J. E. S., Adams, M. M., & Lathrop, D. P.
Affiliations
Duke University (US)
Venue
Physical Review E
Published
2009-10-27
Volume
80
Issue
4
Pages
045202-045202
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W3037711972
Cited by
79
References
13
Citations by year
2026: 2 · 2025: 3 · 2023: 3 · 2022: 2 · 2021: 9 · 2020: 5 · 2019: 10 · 2018: 4 · 2017: 1 · 2016: 2 · 2015: 6 · 2014: 11 · 2013: 6 · 2012: 9
FWCI
3.43
Type
journal article
Language
en
Open access
Locations
  • Physical Review E (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Chaos control and synchronization
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
  • Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
Keywords
deterministic chaos, ultra-wideband signals, Boolean networks, propagation delay, asynchronous circuits
MeSH terms
Computer Simulation, Signal Processing, Computer-Assisted, Logistic Models, Nonlinear Dynamics

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