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Lyapunov exponents and the evolution of normals - MaRDI portal

Lyapunov exponents and the evolution of normals (Q579985)

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scientific article; zbMATH DE number 4016271
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Lyapunov exponents and the evolution of normals
scientific article; zbMATH DE number 4016271

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    Lyapunov exponents and the evolution of normals (English)
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    1987
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    Differential equations are derived which determine the smallest Lyapunov exponents. These o.d.e. arise from relationships describing the evolution of normal tensors associated with the subspaces of an n-dimensional Euclidean phase space. The derived equations are an expression in \(E_ n\) of relationships in \(E_ 3\) arising in continuum kinematics. Numerical studies indicate their utility.
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    Lorenz equation
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    Rossler equation
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    Lyapunov exponents
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    evolution of normal tensors
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    Euclidean phase space
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    continuum kinematics
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