Chaos without nonlinear dynamics.
A linear, second-order filter driven by randomly polarized pulses is shown to generate a waveform that is chaotic under time reversal. That is, the filter output exhibits determinism and a positive Lyapunov exponent when viewed backward in time. The filter is demonstrated experimentally using a passive electronic circuit, and the resulting waveform exhibits a Lorenz-like butterfly structure. This phenomenon suggests that chaos may be connected to physical theories whose underlying framework is not that of a traditional deterministic nonlinear dynamical system.
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