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A theorem on the \(\varepsilon\)-trajectories for the Lorenz mapping - MaRDI portal

A theorem on the \(\varepsilon\)-trajectories for the Lorenz mapping (Q1083742)

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scientific article; zbMATH DE number 3977986
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English
A theorem on the \(\varepsilon\)-trajectories for the Lorenz mapping
scientific article; zbMATH DE number 3977986

    Statements

    A theorem on the \(\varepsilon\)-trajectories for the Lorenz mapping (English)
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    1985
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    For a class of mappings arising as Poincaré mappings for systems of nonlinear differential equations of Lorenz type [see \textit{E. N. Lorenz}, J. Atmos. Sci. 19, 329--341 (1962)] the author announces existence and stability theorems for \(\varepsilon\)-trajectories.
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    structure of attractors
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    trajectories
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    Lorenz system
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