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metadata.dc.type: | Artigo de Periódico |
Title: | Probability density function over the Lorenz attractor: An alternative foiinulation |
Other Titles: | Physical Review A |
Authors: | Andrade, Roberto Fernandes Silva |
metadata.dc.creator: | Andrade, Roberto Fernandes Silva |
Abstract: | A new method is proposed to evaluate the probability density function p over the Lorenz attractor. The conservation statement within the continuity equation for p is equivalently replaced by the requirement that all elements of an infinite set of integrals involving p are equal. Two approximations for p are constructed, after considering a finite number s of such integrals and a function II depending upon a set of parameters. The values these parameters assume in the approximation for p 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 p. |
Publisher: | Physical Review A |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/8510 |
Issue Date: | 1986 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
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