Karhunen-loève decomposition of extensive chaos
Publication
, Journal Article
Zoldi, SM; Greenside, HS
Published in: Physical Review Letters
March 3, 1997
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.
Duke Scholars
Published In
Physical Review Letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
March 3, 1997
Volume
78
Issue
9
Start / End Page
1687 / 1690
Related Subject Headings
- General Physics
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Zoldi, S. M., & Greenside, H. S. (1997). Karhunen-loève decomposition of extensive chaos. Physical Review Letters, 78(9), 1687–1690. https://doi.org/10.1103/PhysRevLett.78.1687
Zoldi, S. M., and H. S. Greenside. “Karhunen-loève decomposition of extensive chaos.” Physical Review Letters 78, no. 9 (March 3, 1997): 1687–90. https://doi.org/10.1103/PhysRevLett.78.1687.
Zoldi SM, Greenside HS. Karhunen-loève decomposition of extensive chaos. Physical Review Letters. 1997 Mar 3;78(9):1687–90.
Zoldi, S. M., and H. S. Greenside. “Karhunen-loève decomposition of extensive chaos.” Physical Review Letters, vol. 78, no. 9, Mar. 1997, pp. 1687–90. Scopus, doi:10.1103/PhysRevLett.78.1687.
Zoldi SM, Greenside HS. Karhunen-loève decomposition of extensive chaos. Physical Review Letters. 1997 Mar 3;78(9):1687–1690.
Published In
Physical Review Letters
DOI
EISSN
1079-7114
ISSN
0031-9007
Publication Date
March 3, 1997
Volume
78
Issue
9
Start / End Page
1687 / 1690
Related Subject Headings
- General Physics
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences