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Fluctuation of mean Lyapunov exponent for Kuramoto-Sivashinsky equation

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Publication:1577051
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DOI10.1016/S0378-4371(00)00250-8zbMath1060.60503MaRDI QIDQ1577051

Hiroshi Shibata

Publication date: 29 August 2000

Published in: Physica A (Search for Journal in Brave)


zbMATH Keywords

turbulenceKuramoto-Sivashinsky equationprobability distribution functionlocal Lyapunov exponentdamping constantlarge deviation statisticsmean Lyapunov exponent fluctuations


Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random dynamical systems (37H99)


Related Items (3)

Statistics of phase turbulence ⋮ Sum of positive Lyapunov exponents for Kuramoto-Sivashinsky equation ⋮ Fluctuation of mean Lyapunov exponent for turbulence



Cites Work

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  • Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
  • Pattern formation outside of equilibrium
  • Dynamical Systems Approach to Turbulence


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