Spatiotemporal chaos in terms of unstable recurrent patterns

@article{Christiansen1996SpatiotemporalCI,
  title={Spatiotemporal chaos in terms of unstable recurrent patterns},
  author={Freddy Bugge Christiansen and Predrag Cvitanovi{\'c} and Vakhtang Putkaradze},
  journal={Nonlinearity},
  year={1996},
  volume={10},
  pages={55-70}
}
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 an accurate guide to the high-dimensional dynamics, and the periodic orbit theory yields several global averages characterizing the chaotic dynamics. 

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