DOI: 10.1209/epl/i2001-00459-5


Europhys. Lett., 55 (5) , pp. 610-615 (2001)

Truly random dynamics generated by autonomous dynamical systems

J. A. González^{1, 2} and L. I. Reyes<sup>1, 2, 3

1</sup>  International Centre for Theoretical Physics - Trieste, Italy
²  Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas Apartado Postal 21827, Caracas 1020-A, Venezuela
³  Departamento de Fisica, Universidad Simón Bolivar Apartado 89000, Caracas 1080-A, Venezuela

(Received 23 February 2001; accepted 15 June 2001)

Abstract
We investigate explicit functions that can produce truly random numbers. We use the analytical properties of the explicit functions to show that a certain class of autonomous dynamical systems can generate random dynamics. This dynamics presents fundamental differences with the known chaotic systems. We present real physical systems that can produce this kind of random time-series. Some applications are discussed.

PACS
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.


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