Sum of positive Lyapunov exponents for Kuramoto–Sivashinsky equation

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 2001, vol. 299, issue 3, 405-411

Abstract: The sum of positive Lyapunov exponents expresses the entropy loss of the systems under study. The sum of positive Lyapunov exponents for Kuramoto–Sivashinsky equation is studied. Its time series behaves like the on–off intermittency. They have laminar and burst parts alternately. It is remarkable that the system in turbulent state loses its entropy intermittency-like.

Keywords: Positive Lyapunov exponent; Kuramoto–Sivashinsky equation; Intermittency; Distribution function of laminar period; Entropy production rate (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:299:y:2001:i:3:p:405-411

DOI: 10.1016/S0378-4371(01)00324-7

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