Lyapunov exponent of partial differential equation

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 1, 226-233

Abstract: The method of calculating numerically the Lyapunov exponent of partial differential equations is stated. The mean Lyapunov exponent and the local Lyapunov exponent are introduced in order to characterize the systems described by the partial differential equations. It is shown that the mean Lyapunov exponent expresses clearly how disordered the spatial patterns are.

Keywords: Lyapunov exponent; Spatiotemporal chaos; Mean Lyapunov exponent; Local Lyapunov exponent; Kuramoto–Sivashinsky equation; Partial differential equation (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:1:p:226-233

DOI: 10.1016/S0378-4371(98)00445-2

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