Predrag Apr 4 2004
Thesis goals: weakly turbulent Kuramoto-Sivashinsky
* KS covering symbolic dynamics,
* good numerical estimates of mean wavelength (in x direction),
* mean time between dislocations (in t direction),
* clear discussion of symmetry reduced symbolic dynamics,
* 10-100 cycles on each fixed wavelength reppeling pruned horseshoe,
* a clear cycle expansion definition of
* the mean wavelength (in x direction),
* mean time between dislocations (in t direction),
* 2-20 cycles that connect the two sets
* an estimate of the mean time between dislocations