Characterization of a system described by Kuramoto–Sivashinsky equation with Lyapunov exponent

Hiroshi Shibata and Ryuji Ishizaki

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 314-321

Abstract: The characteristics of a system described by Kuramoto–Sivashinsky equation are obtained through the statistics of a mean Lyapunov exponent. This mean Lyapunov exponent takes large values and fluctuates large when the system is disordered temporally and spatially. This behavior of the spatially extended system is captured clearly by the probability distribution function for the time averaged one of the mean Lyapunov exponent.

Keywords: Nonlinear partial differential equation; Kuramoto–Sivashinsky equation; Spatiotemporal pattern; Mean Lyapunov exponent; Local Lyapunov exponent (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437199000990
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:314-321

DOI: 10.1016/S0378-4371(99)00099-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().