Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent   patterns
  Spatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic parametrization of the corresponding invariant set serves as accurate guide to the high-dimensional dynamics, and the periodic orbit theory yields several global averages characterizing the chaotic dynamics. 
Freddy Christiansen, Predrag Cvitanovic' and Vakhtang Putkaradze   (CATS, Niels Bohr Institute, Copenhagen, Denmark)