Hopf Bifurcation in The Almost Linear System With Closel y Spaced Natural Frequencies Under 2 Ultraharmonic Resonance
Bai Hongbai, Huang Xieqing £¨Xi'an Jiaotong University, 710049, Xi'an)
Chen Zhenfan£¨Nanjing University of Aeronautics and Astronautics, 210016, Nanjing£©

Abstract: In this paper, we discuss the hopf bifurcation in a two-degree-of-freedom almost linear system with closely spaced natural frequencies under 2 ultraharmonic resonance. We also point out that the system will have very complicated phenomen a by the internal resonance due to closely spaced natural frequencies.
Keywords: nonlinear vibration, internal resonance due to closely spaced natural frequencies, 2 ultraharmonic resonance.