Microextensive chaos of a spatially extended system.
Publication
, Journal Article
Tajima, S; Greenside, HS
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
July 2002
By analyzing chaotic states of the one-dimensional Kuramoto-Sivashinsky equation for system sizes L in the range 79 < or = L < or = 93, we show that the Lyapunov fractal dimension D scales microextensively, increasing linearly with L even for increments Delta L that are small compared to the average cell size of 9 and to various correlation lengths. This suggests that a spatially homogeneous chaotic system does not have to increase its size by some characteristic amount to increase its dynamical complexity.
Duke Scholars
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
July 2002
Volume
66
Issue
1 Pt 2
Start / End Page
017205
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Tajima, S., & Greenside, H. S. (2002). Microextensive chaos of a spatially extended system. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 66(1 Pt 2), 017205. https://doi.org/10.1103/physreve.66.017205
Tajima, Shigeyuki, and Henry S. Greenside. “Microextensive chaos of a spatially extended system.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 66, no. 1 Pt 2 (July 2002): 017205. https://doi.org/10.1103/physreve.66.017205.
Tajima S, Greenside HS. Microextensive chaos of a spatially extended system. Physical review E, Statistical, nonlinear, and soft matter physics. 2002 Jul;66(1 Pt 2):017205.
Tajima, Shigeyuki, and Henry S. Greenside. “Microextensive chaos of a spatially extended system.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 66, no. 1 Pt 2, July 2002, p. 017205. Epmc, doi:10.1103/physreve.66.017205.
Tajima S, Greenside HS. Microextensive chaos of a spatially extended system. Physical review E, Statistical, nonlinear, and soft matter physics. 2002 Jul;66(1 Pt 2):017205.
Published In
Physical review. E, Statistical, nonlinear, and soft matter physics
DOI
EISSN
1550-2376
ISSN
1539-3755
Publication Date
July 2002
Volume
66
Issue
1 Pt 2
Start / End Page
017205
Related Subject Headings
- Fluids & Plasmas
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences