Abstract
An attempt is made to characterize convective fluid motion in a stellar-type convective envelope within the framework of non-linear dynamics. For this analysis, we have simulated threedimensional turbulent compressible convection by solving numerically the full set of Navier‐ Stokes equations in a rectangular box with a two-layer stable‐unstable stratification. The fluid motions are evolved with time until the fluid reaches a statistically steady state. A time series of the horizontally-averaged vertical velocity of the convective fluid is collected from the middle of the unstable zone. The correlation dimension and the largest Lyapunov exponent computed for this time series characterize the fluid motion as that of a low-dimensional strange attractor. The application of the tools of non-linear dynamics in astrophysics is relatively recent, except in the case of celestial mechanics, in ∂
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