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On invariant manifolds and their stability in the problem of motion of a rigid body under the influence of two force fields

Авторы: Irtegov V., Titorenko T.

Журнал: Lecture Notes in Computer Science

Том: 9301

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Год: 2015

Отчётный год: 2015

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Аннотация: On the basis of the Routh-Lyapunov method and its generalizations, we study the structure of the phase space of the conservative system which describes the motion of a rigid body in gravitational and magnetic fields. Within the framework of this study, the invariant manifolds of various dimension have been found, their simplest classification has been performed, and sufficient conditions of stability have been obtained for the stationary invariant manifolds.

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