is a Lorenz-like system but with quite specific observability features. The behavior proposed for this challenge corresponds to parameters and
.
A 100,000 data-points time series with the three variables is available here.
The observability coefficients for the Rucklidge system are
,
,
, that is,
the dynamical variables can be ranked as
[1] A. M. Rucklidge, Chaos in models of double convection, Journal of Fluid Mechanics, 237, 209-229, 1992.