This page contains time-sensitive material, which was submitted to us after the deadline for issue 2, which requires publicity before the publication of issue 3. USA Further details are available at Kingston University . Takens Embedding Theorem provides the theoretical foundation for many popular techniques in nonlinear time series analysis.
Current versions assume that the time series is generated by an autonomous deterministic system.
We describe generalizations to forced systems, both for deterministic forcing, and for certain types of stochastic forcing. A stream cipher system is presented whose running-key sequences are chaotic bit sequences generated by Chebyshev polynomials. It is shown that such a chaotic sequences are ones of unpredictable i.i.d. binary random variables. This cipher system is an easier to implement stream cipher system containing a floating-point microprocessor. 12th November 1995.