Dynamics of a Painlevé–Appell system

The dynamics of a Painlevé–Appell system consisting of two point masses joined by a weightless rigid rod is studied within two mechanical models, which describe different motion regimes. One of the masses can slide or can be supported at rest on a rough straight line. The boundaries of the region of definition of each of the models are presented, and the transitions between them are analysed for various friction coefficients.