Issue |
Europhys. Lett.
Volume 66, Number 5, June 2004
|
|
---|---|---|
Page(s) | 638 - 644 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2004-10023-y | |
Published online | 01 May 2004 |
Random maps in physical systems
1
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: leo@pmmh.espci.fr
Received:
12
January
2004
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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