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The conservation law of second-order non-holonomic system of non-Chetaev's type - MaRDI portal

The conservation law of second-order non-holonomic system of non-Chetaev's type (Q1581513)

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scientific article; zbMATH DE number 1513421
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English
The conservation law of second-order non-holonomic system of non-Chetaev's type
scientific article; zbMATH DE number 1513421

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    The conservation law of second-order non-holonomic system of non-Chetaev's type (English)
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    16 November 2001
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    Given a second-order nonholonomic system of non-Chetaev's type (nonholonomic constraints include derivatives of coordinates up to the second order), and an infinitesimal transformation satisfies certain conditions, the author demonstrates that a conserved quantity (first integral) can be obtained. An example shows how to apply this result. Calculations are standard and rather straightforward. All the paper is written in local coordinates.
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    second-order nonholonomic system of non-Chetaev's type
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    conservation laws
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    infinitesimal transformation
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    first integral
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