Geodesic
Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 2, pp. 343-353

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In this paper we study the existence of forced oscillations in two Lagrange systems with gyroscopic forces: a spherical pendulum in a magnetic field and a point on a rotating closed convex surface. We show how it is possible to prove the existence of forced oscillations in these systems provided the systems move in the presence of viscous friction.
Keywords: forced oscillation, spherical pendulum, gyroscopic force, Wazewski method.
Mots-clés : friction 
@article{ND_2020_16_2_a7,
     author = {I. Yu. Polekhin},
     title = {Remarks on {Forced} {Oscillations} in {Some} {Systems} with {Gyroscopic} {Forces}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {343--353},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2020_16_2_a7/}
}
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I. Yu. Polekhin. Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 2, pp. 343-353. http://geodesic.mathdoc.fr/item/ND_2020_16_2_a7/