%0 Journal Article %1 kostelich1989 %A Kostelich, Eric J %A Swinney, Harry L %D 1989 %J Physica Scripta %K attrctor considerations dimension practical %N 3 %P 436 %T Practical considerations in estimating dimension from time series data %U http://stacks.iop.org/1402-4896/40/i=3/a=030 %V 40 %X A numerical comparison is made of algorithms for computing the dimension of attractors using the Grassberger-Procaccia correlation dimension and the Badii-Politi nearest neighbor approach. Using experimentally realizable data sets, the nearest neighbor method appears to have the better power law behavior when the attractor dimension is between 3 and 7.

@article{kostelich1989, abstract = {A numerical comparison is made of algorithms for computing the dimension of attractors using the Grassberger-Procaccia correlation dimension and the Badii-Politi nearest neighbor approach. Using experimentally realizable data sets, the nearest neighbor method appears to have the better power law behavior when the attractor dimension is between 3 and 7.}, added-at = {2013-11-22T11:28:09.000+0100}, author = {Kostelich, Eric J and Swinney, Harry L}, biburl = {https://www.bibsonomy.org/bibtex/215b03321fafe31762c635bf48684ad77/adisaurabh}, interhash = {c8e38f440e266f17c2f9b9c9cbc1bebf}, intrahash = {15b03321fafe31762c635bf48684ad77}, journal = {Physica Scripta}, keywords = {attrctor considerations dimension practical}, number = 3, pages = 436, timestamp = {2013-11-22T11:28:09.000+0100}, title = {Practical considerations in estimating dimension from time series data}, url = {http://stacks.iop.org/1402-4896/40/i=3/a=030}, volume = 40, year = 1989 }