A Chaotic Circuit for Producing Gaussian Random Numbers

J. C. Sprott
Department of Physics, University of Wisconsin–Madison,
Madison, Wisconsin 53706, USA

W. J. Thio
Department of Electrical Engineering and Computer Science,
University of Michigan, Ann Arbor, Michigan 48109, USA

Received July 29, 2019; Revised October 14, 2019

One of the main applications for chaotic circuits is the production of aperiodic signals with many of the characteristics of noise for secure communications and similar uses. However, the probability distribution function (pdf) of such signals is usually far from Gaussian. This paper describes a new chaotic circuit based on the recently proposed signum thermostat that produces signals whose pdf is accurately Gaussian. Data from the constructed circuit are analyzed and
shown to be in agreement with the theoretical prediction.

Ref: J. C. Sprott and W. J. Thio, International Journal of Bifurcation and Chaos 30, 2050116-1-8 (2020)

The complete paper is available in PDF format.

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