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Invariant sets in the Goryachev–Chaplygin problem: existence, stability and branching

✍ Scribed by A.V. Karapetyan

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
135 KB
Volume
70
Category
Article
ISSN
0021-8928

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✦ Synopsis

The existence, stability and branching of invariant sets in the problem of the motion of a heavy rigid body with a fixed point, which satisfies the Goryachev-Chaplygin conditions, are discussed. Both trivial invariant sets, in which the pendulum-like motions of a Goryachev-Chaplygin spinning top lie, as well as non-trivial invariant sets, in which the motion of the top is described by elliptic functions of time, are investigated.

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