Quantitative characterization of spatiotemporal patterns II

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 1998, vol. 260, issue 3, 374-380

Abstract: Disorderness of spatiotemporal patterns which are obtained by nonlinear partial differential equations is characterized quantitatively. The mean Lyapunov exponent for a nonlinear partial differential equation is given. The local Lyapunov exponent which is a finite time average of the mean Lyapunov exponent is shown to have close relation to the spatiotemporal patterns. It is suggested that the systems which are described by nonlinear partial differential equations are characterized statistically through the probability distribution function of the local Lyapunov exponent.

Keywords: Spatiotemporal chaos; Spatiotemporal pattern; Mean Lyapunov exponent; Local Lyapunov exponent; Nonlinear partial differential equation (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:260:y:1998:i:3:p:374-380

DOI: 10.1016/S0378-4371(98)00311-2

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