Volume 66, Number 5, June 2004
|Page(s)||638 - 644|
|Published online||01 May 2004|
Random maps in physical systems
PMMH (CNRS UMR 7636), ESPCI - 10 rue Vauquelin, 75231 Paris Cedex 05, France
2 International Centre for Theoretical Physics (ICTP) - Trieste, Italy
3 Centro de Física, IVIC - A.P. 21827, Caracas 1020-A, Venezuela
Corresponding author: firstname.lastname@example.org
Accepted: 25 March 2004
We show that functions of type , where is a periodic function and Z is a generic real number, can produce sequences such that any string of values is deterministically independent of past and future values. There are no correlations between any values of the sequence. We show that this kind of dynamics can be generated using a recently constructed optical device composed of several Mach-Zehnder interferometers. Quasiperiodic signals can be transformed into random dynamics using nonlinear circuits. We present the results of real experiments with nonlinear circuits that simulate exponential and sine functions.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 05.45.Vx – Communication using chaos
© EDP Sciences, 2004
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