Smoothing Strange Attractors Using Splines

1995/12/31 by Junheng Luo, Luo, Junheng, Dominique Thiébaut +2
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks and Applications #Time Series Analysis and Forecasting #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9512009

18 pages. 5 figures. Additional software available from http://cs.smith.edu/~thiebaut/research/research.html

arxiv created 1995/12/31 · openalex publication_date 1995/12/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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