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


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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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I. Parasyuk

Shevchenko Kyiv National University

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Email: pio@univ.kiev.ua
乌克兰, Glushkov Avenue, 4, Kyiv, 03680

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