Optimal Embeddings of Chaotic Attractors from Topological Considerations

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Published under licence by IOP Publishing Ltd
, , Citation W. Liebert et al 1991 EPL 14 521 DOI 10.1209/0295-5075/14/6/004

0295-5075/14/6/521

Abstract

Guided by topological considerations, a new method is introduced to obtain optimal delay coordinates for data from chaotic dynamic systems. By determining simultaneously the minimal necessary embedding dimension as well as the proper delay time we achieve optimal reconstructions of attractors. This can be demonstrated, e.g., by reliable dimension estimations from limited data series.

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