Smoothing Strange Attractors with Splines(*)

Junheng Luo and Dominique Thi‰baut



Department of Computer Science
Smith College
Northampton, MA 01063


Abstract A noise-reduction algorithm for time-series of non-linear systems is presented. The algorithm smoothes the attractors in phase space using B-splines, allowing a more accurate measure of their dynamics. The algorithm is tested on numerical and experimental data. It is linear in complexity, and can be applied to embeddings of any dimension.


Keywords Nonlinear systems, chaos, noise-reduction algorithm, B-spline.

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(*) Research supported by NSF Grant #9212032.