Title: On partial differential equations related to Lorenz system
Abstract: Partial differential equations are constructed such that a truncation scheme as adopted by Lorenz [J. Atmos. Sci. 20, 130 (1963)] will lead to Lorenz equations. The partial differential equations are much simpler than those of the Rayleigh–Bernard problem and are essentially of the mixed type. Various aspects of the partial differential equations are explored. It is suggested that the switching back and forth between the elliptic and hyperbolic regimes represents the chaotic behavior of the system in the context of partial differential equations.
Publication Year: 1987
Publication Date: 1987-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 36
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