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    The Jacobi problem on a plane

    2009, Vol. 5, No. 1, pp.  83-86

    Author(s): Kilin A. A.

    3-particle systems with a particle-interaction homogeneous potential of degree $α=-2$ is considered. A constructive procedure of reduction of the system by 2 degrees of freedom is performed. The nonintegrability of the systems is shown using the Poincare mapping.



    Keywords: multiparticle system, potential, Hamiltonian, reduction, integrability
    Citation: Kilin A. A., The Jacobi problem on a plane, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 1, pp.  83-86
    DOI:10.20537/nd0901010


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