Statistical Predictability Theory

Part of the Fluid Mechanics and its Applications book series (FMIA, volume 84)

The concepts of predictability and unpredictability have been widely used throughout the preceding chapters, and are one of the major ingredients in our definition of turbulence. When turbulence is examined from the point of view of “chaos” in dynamical systems, predictability is studied by looking at the sign of the Liapounov exponent l, with d(t) α e lt , where d(t) is an appropriate measure of the distance between two points representing the system and initially very close in phase space: a positive exponent means then an exponential separation, and implies loss of predictability.


Inertial Range Statistical Predictability Predictability Time Error Spectrum Inverse Cascade 
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© Springer 2008

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