Necessary conditions of existence of linear-fractional integral in the case of three invariant relations of gyrostat's dynamic equations (Q2901773)
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scientific article; zbMATH DE number 6062274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary conditions of existence of linear-fractional integral in the case of three invariant relations of gyrostat's dynamic equations |
scientific article; zbMATH DE number 6062274 |
Statements
31 July 2012
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generalized dynamic equations of gyrostat
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invariant relation
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invariant set
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first integral
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0.8486396
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Necessary conditions of existence of linear-fractional integral in the case of three invariant relations of gyrostat's dynamic equations (English)
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Problem about research of the the Poisson equations which suppose the integral, the conditions for existence of fractional-linear integral on the three variables. Conditions of existence are investigated fully for the case when the differential equations admit three linear invariant relations. It is shown that the vector angular speed of a gyrostat can be presented in the form of superposition of a vector of a vertical and product of a matrix which is the sum of unit and antisymmetric matrixes and this vector.
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