摘要
An oscillator with dry friction under external excitation is considered. The Poincar@ map can be established according to the series solution near equilibrium in the case of 1：4 resonance. Based on the theory of normal forms, the map is reduced into its normal form. It is shown that the Neimark-Sacker （N-S） bifurcations may occour. The theoretical results are verified with the numerical simulations.
An oscillator with dry friction under external excitation is considered. The Poincar@ map can be established according to the series solution near equilibrium in the case of 1：4 resonance. Based on the theory of normal forms, the map is reduced into its normal form. It is shown that the Neimark-Sacker （N-S） bifurcations may occour. The theoretical results are verified with the numerical simulations.
基金
Project supported by the National Natural Science Foundation of China(No.11172246)
the Fundamental Research Funds for the Central Universities of China(No.SWJTU11ZT15)
