Karhunen-Loeve Decomposition of Extensive Chaos
Journal Article
·
· Physical Review Letters
- Department of Physics, Duke University, Durham, North Carolina 27708-0305 (United States)
We show that the number of KLD (Karhunen-Loeve decomposition) modes D{sub KLD} needed to capture a fraction f of the total variance of an extensively chaotic state scales extensively with subsystem volume V. This allows a correlation length {xi}{sub KLD} to be defined that is easily calculated from spatially localized data. We show that {xi}{sub KLD} has a parametric dependence similar to that of the dimension correlation length and demonstrate that this length can be used to characterize high-dimensional inhomogeneous spatiotemporal chaos. {copyright} {ital 1997} {ital The American Physical Society}
- DOE Contract Number:
- FG05-94ER25214
- OSTI ID:
- 467451
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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