APPLICATION OF THE SUBHARMONIC MELNIKOV METHOD TO PIECEWISE-SMOOTH SYSTEMS

摘要

We extend a refined version of the subharmonic Melnikov method to piecewise-smooth systems and demonstrate the theory for bi- and trilin-ear oscillators. Fundamental results for approximating solutions of piecewise-smooth systems by those of smooth systems are given and used to obtain the main result. Special attention is paid to degenerate resonance behavior, and analytical results are illustrated by numerical ones.