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Boolean chaos.

Publication ,  Journal Article
Zhang, R; de S Cavalcante, HLD; Gao, Z; Gauthier, DJ; Socolar, JES; Adams, MM; Lathrop, DP
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
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.

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Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

October 2009

Volume

80

Issue

4 Pt 2

Start / End Page

045202

Related Subject Headings

  • Signal Processing, Computer-Assisted
  • Nonlinear Dynamics
  • Logistic Models
  • Fluids & Plasmas
  • Computer Simulation
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Zhang, R., de S Cavalcante, H. L. D., Gao, Z., Gauthier, D. J., Socolar, J. E. S., Adams, M. M., & Lathrop, D. P. (2009). Boolean chaos. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 80(4 Pt 2), 045202. https://doi.org/10.1103/physreve.80.045202
Zhang, Rui, Hugo L. D. de S Cavalcante, Zheng Gao, Daniel J. Gauthier, Joshua E. S. Socolar, Matthew M. Adams, and Daniel P. Lathrop. “Boolean chaos.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 80, no. 4 Pt 2 (October 2009): 045202. https://doi.org/10.1103/physreve.80.045202.
Zhang R, de S Cavalcante HLD, Gao Z, Gauthier DJ, Socolar JES, Adams MM, et al. Boolean chaos. Physical review E, Statistical, nonlinear, and soft matter physics. 2009 Oct;80(4 Pt 2):045202.
Zhang, Rui, et al. “Boolean chaos.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 4 Pt 2, Oct. 2009, p. 045202. Epmc, doi:10.1103/physreve.80.045202.
Zhang R, de S Cavalcante HLD, Gao Z, Gauthier DJ, Socolar JES, Adams MM, Lathrop DP. Boolean chaos. Physical review E, Statistical, nonlinear, and soft matter physics. 2009 Oct;80(4 Pt 2):045202.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

October 2009

Volume

80

Issue

4 Pt 2

Start / End Page

045202

Related Subject Headings

  • Signal Processing, Computer-Assisted
  • Nonlinear Dynamics
  • Logistic Models
  • Fluids & Plasmas
  • Computer Simulation
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences