2003•Journal of Southwest Jiaotong UniversityRequires access
Subharmonic Resonance of Nonlinear Forced Vibration Systems
Jian Ye
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Abstract
The forced vibrations of nonlinear systems were studied with the theory of nonlinear dynamics equations. The conditions for subharmonic resonance to exist were obtained, and the subharmonic periodic orbits of the system and their Melnikov functions were derived. The results presented can be used in prediction of chaotic motion of a nonlinear system.