Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901195 | Reports on Mathematical Physics | 2006 | 10 Pages |
Abstract
A method for obtaining first integrals and integrating factors of n-th order autonomous systems is proposed. The search for first integrals and integrating factors can be reduced to the search for a class of invariant manifolds of the systems. Finally, the proposed method is applied to Euler-Poisson equations (gyroscope system), and the fourth first integral of the system in general Kovalevskaya case can be obtained.
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Mathematical Physics