摘要
The behavior of bifurcation and chaos in a forced oscillator containing a square nonlinear term was investigated by using Mel'nikov method and digital computer simulations. It was show that the system blows up for low damping before the motion develops into chaotic one when frequency is locked. The routes which lead to chaos are different for different frequency. After the parameters cross chaotic zone, the response of the system are also different. The three cases all depend on the values of dumping and frequency.
The behavior of bifurcation and chaos in a forced oscillator containing a square nonlinear term was investigated by using Mel'nikov method and digital computer simulations. It was show that the system blows up for low damping before the motion develops into chaotic one when frequency is locked. The routes which lead to chaos are different for different frequency. After the parameters cross chaotic zone, the response of the system are also different. The three cases all depend on the values of dumping and frequency.
基金
National Natural Science Foundation of China
