Synthesizing folded band chaos.
A randomly driven linear filter that synthesizes Lorenz-like, reverse-time chaos is shown also to produce Rössler-like folded band wave forms when driven using a different encoding of the random source. The relationship between the topological entropy of the random source, dissipation in the linear filter, and the positive Lyapunov exponent for the reverse-time wave form is exposed. The two drive encodings are viewed as grammar restrictions on a more general encoding that produces a chaotic superset encompassing both the Lorenz butterfly and Rössler folded band paradigms of nonlinear dynamics.
Corron
Ned J
NJ
U. S. Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, Alabama 35898, USA.
Hayes
Scott T
ST
Pethel
Shawn D
SD
Blakely
Jonathan N
JN