Spatiotemporal chaos analysed through unstable periodic states

Sam Gratrix
Multifractal properties of a chaotic attractor are usefully quantified by its spectrum of singularities, f(α). Here, α is the pointwise dimension of the natural measure at a point on the attractor, and f(α) is the Hausdorff dimension of all points with pointwise dimension α. Within a more general thermodynamic formalism, the singularity spectrum is one of several ways in which the properties of an attractor can be quantified. The technique used to realize the singularity...
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