Geodesic
Self-oscillations of two bodies in the case of nonlinear friction
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 39-45 
V. G. Vil'ke; I. L. Shapovalov. Self-oscillations of two bodies in the case of nonlinear friction. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 39-45. http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a6/
@article{VMUMM_2011_4_a6,
     author = {V. G. Vil'ke and I. L. Shapovalov},
     title = {Self-oscillations of two bodies in the case of nonlinear friction},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {39--45},
     year = {2011},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a6/}
}
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The motion of two bodies is studied. One of them is connected to a motionless basis by a spring, whereas the other one is connected with a body moving at a constant speed. The interaction of the bodies is described by a nonlinear friction law with a falling section of the characteristic. The averaged equations of motion are obtained in terms of the canonical action–angle variables. The stationary points corresponding to self-oscillation modes are found and their stability is studied.