Periodic and Quasiperiodic Solutions of a Forced Discontinuous Oscillator
摘要
In this paper we consider a forced oscillator with a discontinuous restoring force. By the Aubry–Mather theory we prove that there exist infinitely many periodic and quasiperiodic solutions. The proof relies on analysing the generating function of the system. The approach is applicable to studying the dynamics of more general forced nonsmooth oscillators of Hamiltonian type.