Random maps in physical systems

Details Random maps in physical systems Random maps in physical systems

2004-05-11

arxiv.org/abs/nlin/0405027v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 5 figures, EPL style. To appear in Europhysics Letters

Scientific paper

10.1209/epl/i2004-10023-y

We show that functions of type $X_n = P[Z^n]$, where $P[t]$ is a periodic function and $Z$ is a generic real number, can produce sequences such that any string of values $X_{s}, X_{s+1}, ...,X_{s+m}$ 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.

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