Determinism in synthesized chaotic waveforms.
The output of a linear filter driven by a randomly polarized square wave, when viewed backward in time, is shown to exhibit determinism at all times when embedded in a three-dimensional state space. Combined with previous results establishing exponential divergence equivalent to a positive Lyapunov exponent, this result rigorously shows that such reverse-time synthesized waveforms appear equally to have been produced by a deterministic chaotic system.
Corron
Ned J
NJ
US Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, AL 35898, USA.
Blakely
Jonathan N
JN
Hayes
Scott T
ST
Pethel
Shawn D
SD