Article ID Journal Published Year Pages File Type
1901195 Reports on Mathematical Physics 2006 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics