title: Synthesizing folded band chaos.
abstract: 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.
authors.affiliation: U. S. Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, Alabama 35898, USA.
authors.forename: Ned J
authors.initials: NJ
authors.lastname: Corron
authors.forename: Scott T
authors.initials: ST
authors.lastname: Hayes
authors.forename: Shawn D
authors.initials: SD
authors.lastname: Pethel
authors.forename: Jonathan N
authors.initials: JN
authors.lastname: Blakely