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On Linear Invariant Manifolds in the Generalized Problem of Motion of a Top in a Magnetic Field

Авторы: Irtegov V., Titorenko T.

Журнал: Lecture Notes in Computer Science, 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019; Moscow

Том: 11661

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Год: 2019

Отчётный год: 2019

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Аннотация: Differential equations describing the rotation of a rigid body with a fixed point under the influence of forces generated by the Barnett–London effect are analyzed. They are a multiparametric system of equations. A technique for finding their linear invariant manifolds is proposed. With this technique, we find the linear invariant manifolds of codimension 1 and use them in the qualitative analysis of the equations. Computer algebra tools are applied to obtain the invariant manifolds and to analyze the equations. These tools proved to be essential.

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