The so-called "Lorenz-84" system is a low order model of atmospheric circulation.
For (F,G) = (1.8,1.65), this system has a repelling torus, the physical
manifestation of a Hopf-saddle node bifurcation. For small changes
in F, the dynamics on the torus are quasiperiodic. We continued the torus for
decreasing F, toward the bifurcation point, and for increasing F, away
from the bifurcation point. Note that the initial data was determined by
simulation (simple iteration), and hence was rough (uneven).
Tori of the Lorenz-84 system, F=1.755 left and F=1.84 right,
discretized with 128x128x2=32768 first order elements.
The user-written program which uses the class library to perform this
computation is provided as a class library usage example
.
*Y. Kuznetsov, ``Elements of Applied Bifurcation Theory,'' Springer-Verlag, New York, 1998.
