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We consider a relativistic particle under the action of a time-periodic central force field in the plane. Assuming an attractive type condition on some neighborhood of infinity there are many subharmonic and quasiperiodic motions. Moreover, the obtained information allows to give applications for many scalar problems involving the relativistic operator.

electronic journal on the qualitative theory of differential equations

New periodic and quasi-periodic motions of a relativistic particle under a planar central force ﬁeld with applications to scalar boundary periodic problems