HOW MANY DELAY COORDINATES DO YOU NEED?
- 1 June 1993
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 3 (3) , 737-744
- https://doi.org/10.1142/s0218127493000647
Abstract
Theorems on the use of delay coordinates for analyzing experimental data are discussed. To reconstruct a one-to-one correspondence with the state-space attractor, m delay coordinates are sufficient, where m>2D0 (here D0 denotes the box-counting dimension). For calculating the correlation dimension D2, m>D2 delays are sufficient. These results remain true under finite impulse response (FIR) filters.Keywords
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