Nearest neighbor embedding with different time delays

Details Nearest neighbor embedding with different time delays Nearest neighbor embedding with different time delays

2004-11-05

arxiv.org/abs/nlin/0411015v2

Physical Review E 71 (2005) 037204

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures, updated to final version

Scientific paper

10.1103/PhysRevE.71.037204

A nearest neighbor based selection of time delays for phase space reconstruction is proposed and compared to the standard use of time delayed mutual information. The possibility of using different time delays for consecutive dimensions is considered. A case study of numerically generated solutions of the Lorenz system is used for illustration. The effect of contamination with various levels of additive Gaussian white noise is discussed.

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