Astero Provata

Studies on the Statistical Properties of Dissipative Systems

We investigate the behaviour of dissipative systems described by a system of non-linear differential equations (flows). The statistical behaviour of the dissipative systems is described by means of a probability distribution function whose form is determined by the corresponding Liouville Equation. For the Pitchfork Bifurcation Model the structure of the phase space is investigated in terms of the eigenvalues and eigenfunctions of the corresponding Liouville Equation.

Reference: 9

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