Fluctuation of mean Lyapunov exponent for turbulence

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 2001, vol. 292, issue 1, 175-181

Abstract: Lyapunov exponent for the systems described by the complex Ginzburg–Landau equation is studied through its statistics. The probability distribution function for the finite-time-average Lyapunov exponent is given. Its functional form is the same as the systems described by the Kuramoto–Sivashinsky equation that expresses the weak turbulence. It is predicted that many kinds of turbulence have the same characteristics concerning their statistics of Lyapunov exponent.

Keywords: Mean Lyapunov exponent; Local Lyapunov exponent; Complex Ginzburg–Landau equation; Probability distribution function; Turbulence (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:292:y:2001:i:1:p:175-181

DOI: 10.1016/S0378-4371(00)00522-7

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