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- Title
HOW MANY DELAY COORDINATES DO YOU NEED?
- Authors
SAUER, TIM; YORKE, JAMES A.
- 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.
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 1993, Vol 3, Issue 3, p737
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127493000647