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Time-Dependent Probability Density Functions and Attractor Structure in Self-Organised Shear Flows

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Figure

Figure 1. The peak positions (x∗) as functions of γ, for different values of D, as indicated, and a = b = 1.
Figure 2.The peak amplitudes (p(x∗)) as functions of γ, for different values of D, as indicated,and a = b = 1.The small diamonds indicate the transition points between unimodal andbimodal Probability Density Functions (PDFs).
Figure 5. Time evolution of the PDFs for the following initial conditions: ((a) x0 = 0; (b) x0 = 0.32;c) x0 = 0.6; (d) x0 = 1
Figure 7. L(t) as a function of t, with a linear scale on the left and a logarithmic scale on the right.
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