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High-dimensional bowling. \(n\)-dimensional ball rolling on \((n-1)\)-dimensional surface - MaRDI portal

High-dimensional bowling. \(n\)-dimensional ball rolling on \((n-1)\)-dimensional surface (Q1876375)

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scientific article; zbMATH DE number 2097044
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English
High-dimensional bowling. \(n\)-dimensional ball rolling on \((n-1)\)-dimensional surface
scientific article; zbMATH DE number 2097044

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    High-dimensional bowling. \(n\)-dimensional ball rolling on \((n-1)\)-dimensional surface (English)
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    6 September 2004
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    The authors consider a nonholonomic system of an \(n\)-dimensional ball rolling on an \((n-1)\)-dimensional surface. They discuss the structure of the equations of motion, the existence of an invariant measure, and some generalizations of the problem.
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    almost Poisson structure
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    nonholonomic system
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    invariant measure
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