Geodesic
Investigation of the dynamics of a two-degrees-of-freedom piecewise linear oscillator
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 4, pp. 533-542

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The motion of a piecewise linear oscillator is considered. It consists of two spring connected drawers on a conveyor belt moving at a constant speed. The equations of motion are averaged in one nonresonance case. A continuum of invariant tori is obtained that exists in the exact system. The attraction (in finite time) of the trajectories to the family of limit tori is proved (limit tori belong to the continuum of invariant tori). We also investigate zones of sticking, which cannot be detected by averaging.
Keywords: equations with discontinuities, piecewise linear oscillator, averaging method, sticking zone.
Mots-clés : invariant torus 
@article{ND_2017_13_4_a5,
     author = {A. E. Baikov and N. V. Kovalev},
     title = {Investigation of the dynamics of a two-degrees-of-freedom piecewise linear oscillator},
     journal = {Russian journal of nonlinear dynamics},
     pages = {533--542},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_4_a5/}
}
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A. E. Baikov; N. V. Kovalev. Investigation of the dynamics of a two-degrees-of-freedom piecewise linear oscillator. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 4, pp. 533-542. http://geodesic.mathdoc.fr/item/ND_2017_13_4_a5/