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    Article

    On the Dynamics of Mechanical Systems with the Homogeneous Polynomial Potential V = ax 4 + cx 2 y 2

    This paper is devoted to analyze certain dynamical aspects of the planar mechanical system associated to the potential V = ax 4 + cx 2 y ...

    Manuel Falconi, Ernesto Lacomba in Journal of Dynamics and Differential Equat… (2009)

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    Article

    Analysis of some degenerate quadruple collisions

    We consider the trapezoidal problem of four bodies. This is a special problem where only three degrees of freedom are involved. The blow up method of McGehee can be used to deal with the quadruple collision. T...

    Carles Simó, Ernesto Lacomba in Celestial mechanics (1982)