Karhunen-loève decomposition of extensive chaos


Journal Article

We show that the number of KLD (Karhunen-Loève decomposition) modes DKLD 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 ξKLD to be defined that is easily calculated from spatially localized data. We show that ξKLD 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. © 1997 The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Zoldi, SM; Greenside, HS

Published Date

  • March 3, 1997

Published In

Volume / Issue

  • 78 / 9

Start / End Page

  • 1687 - 1690

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/PhysRevLett.78.1687

Citation Source

  • Scopus