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...

Full description

Saved in:
Bibliographic Details
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.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Superposition (mathematics)
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04355-1