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- W2000444183 abstract "A new method is proposed to evaluate the probability density function ensuremath{rho} over the Lorenz attractor. The conservation statement within the continuity equation for ensuremath{rho} is equivalently replaced by the requirement that all elements of an infinite set of integrals involving ensuremath{rho} are equal. Two approximations for ensuremath{rho} are constructed, after considering a finite number s of such integrals and a function ensuremath{Pi} depending upon a set of parameters. The values these parameters assume in the approximation for ensuremath{rho} are given by the solution of a system of equations which arises from the requirement that the elements of the subset of s integrals are equal. The results are compared with the probability density function coming from the numerical integration of the continuity equation for ensuremath{rho}." @default.
- W2000444183 created "2016-06-24" @default.
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- W2000444183 date "1986-08-01" @default.
- W2000444183 modified "2023-10-17" @default.
- W2000444183 title "Probability density function over the Lorenz attractor: An alternative formulation" @default.
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- W2000444183 doi "https://doi.org/10.1103/physreva.34.1403" @default.
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