The Rucklidge system
23/05/2009
- The Rucklidge system [1]
\[$
\left\{
\begin{array}{l}
\dot{x} = y \\[0.1cm]
\dot{y} = -\lambda x + \kappa y -xz \\[0.1cm]
\dot{z} = -z + x^2
\end{array}
\right.
$\]
is a Lorenz-like system but with quite specific observability features. The behavior proposed for this challenge corresponds to parameters \(XALATEXI0X\) and \(XALATEXI1X\).
Fig. 1 : Chaotic "Lorenz" attractor solution to the Rucklidge system.
Data set for the Rucklidge dynamics.
A 100,000 data-points time series with the three variables is available here.
The observability coefficients for the Rucklidge system are
\(XALATEXI2X\),
\(XALATEXI3X\),
\(XALATEXI4X\), 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.
Documents
Data set for the Rucklidge dynamics.
Zip · 1.4 Mio
ATOMOSYD {2007} |
![Suivre la vie du site]()
|
|
MàJ . 02/05/2026
|
MàJ . 02/05/2026