Detecting Folds in Chaotic Processes By Mapping the Convex Hull
An approximate tesselation map is used to detect global foldings in reconstructed time series by mapping the boundary of the convex hull of the reconstruction. This technique is applied to the Hénon map and the Lynx population data and in the latter case shows that a model of the system requires more than two degrees of freedom.
KeywordsConvex Hull Strange Attractor Phase Space Trajectory Chaotic Process Reconstructed Time Series
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