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Invariant relations for kirchhoff equations and the Kowalewski method

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The Kowalewski exponents in the problem on the motion of a solid under the Chaplygin condition are calculated (when there is a velocity-linear invariant relation). The method of calculation uses… Click to show full abstract

The Kowalewski exponents in the problem on the motion of a solid under the Chaplygin condition are calculated (when there is a velocity-linear invariant relation). The method of calculation uses the generalizing Ioshida theorems on the Kowalewski exponents found by V.V. Kozlov. It is shown that the general solution of the equations of motion branches out in the complex time plane under the Chaplygin conditions.

Keywords: relations kirchhoff; equations kowalewski; kirchhoff equations; method; invariant relations; kowalewski method

Journal Title: Doklady Physics
Year Published: 2017

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