Quantitative characterization of spatiotemporal chaos

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 1998, vol. 252, issue 3, 428-449

Abstract: In this paper one way to characterize spatiotemporal chaos is shown. A coupled map lattice is used as a model for the spatiotemporal chaos. The local expansion rate is defined for the coupled map lattice in the extension of the low-dimensional temporal chaos. It is shown that the local expansion rate is closely related to the spatiotemporal pattern of the spatiotemporal chaos. The thermodynamic formalism is applied to the local expansion rate. The thermodynamic functions describing fluctuations of the local expansion rate are shown. The spatiotemporal pattern that fluctuates is shown at the same time. It is shown clearly that the thermodynamic functions characterize the spatiotemporal chaos.

Keywords: Spatiotemporal chaos; Coupled map lattice; Local expansion rate; Local Lyapunov exponent; Thermodynamic formalism (search for similar items in EconPapers)
Date: 1998
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437197005864
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:252:y:1998:i:3:p:428-449

DOI: 10.1016/S0378-4371(97)00586-4

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 ().