Karhunen-Loeve Decomposition of Extensive Chaos

Journal Article · Sat Mar 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.1687· OSTI ID:467451

Zoldi, S M; Greenside, H S ^[1]

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1. 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, Vol. 78, Issue 9; Other Information: PBD: Mar 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DECOMPOSITION
CORRELATION FUNCTIONS
CAPTURE
LYAPUNOV METHOD
FRACTALS
EQUILIBRIUM
DATA ANALYSIS