Random sequences generated by a delayed nonlinear algorithm

A numerical experiment on an algorithm to generate integer-valued random se quences by means of deterministic chaos is reported. The underlying dynamic al system represents the oscillator known as the unidirectional loop, which features amplitude-phase nonlinearity, filtering, and delayed feedback. It is demonstrated that a random sequence thus obtained is nonperiodic and cl ose to white noise and that it can serve as the basis for a chaotic code wi th prescribed correlation properties, the code size dramatically exceeding the code length.