Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent patterns

Freddy Christiansen; Predrag Cvitanovic'; Vakhtang Putkaradze

doi:10.1088/0951-7715/10/1/004

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arXiv · chao-dyn/9606016

Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent patterns

Freddy Christiansen·Predrag Cvitanovic'·Vakhtang Putkaradze

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Abstract

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.

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Freddy Christiansen, Predrag Cvitanovic', Vakhtang Putkaradze. 1996-07-01. Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent patterns. https://doi.org/10.1088/0951-7715%2F10%2F1%2F004

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