Quasiperiodic Forced Oscillations of a Solid Body in the Field of a Quadratic Potential

We consider a natural Lagrangian system that describes the motion of a solid body under the action of superposition of two potential force fields. The first field is a stationary field with quadratic potential, while the potential of the second field is linear in the space and depends on time as a q...

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Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-07, Vol.240 (3), p.323-341
Main Author: Parasyuk, I. O.
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Language:English
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Mathematics
Mathematics and Statistics
Superposition (mathematics)
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description We consider a natural Lagrangian system that describes the motion of a solid body under the action of superposition of two potential force fields. The first field is a stationary field with quadratic potential, while the potential of the second field is linear in the space and depends on time as a quasiperiodic function. We establish sufficient conditions under which this system has a classical hyperbolic quasiperiodic solution, which locally minimizes the Lagrangian averaged over time.
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Superposition (mathematics)
title Quasiperiodic Forced Oscillations of a Solid Body in the Field of a Quadratic Potential
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