中文说明:
非线性动力学、分岔 Matlab 程序实现,弹簧质量系统在简谐激励作用下的受迫振动,弹簧的恢复力F与变形x的关系为F=kx3,动力学方程为...30cosmxcxkxFwt++= 其中,给定参数,1m=,0.3c=,1.0k=,1w=,初始条件为(0)3.0x=,.(0)4.0x=设系统的动态参数为F0,绘出系统状态变量随参数变化分岔图,绘图参数对应的系统各周期及混沌状态的时间历程图、相轨迹图、Poincare映射图。
English Description:
Nonlinear dynamics and bifurcation are realized by MATLAB program. The forced vibration of the spring mass system under harmonic excitation is realized. The relationship between the restoring force F and the deformation X of the spring is f = kx3. The dynamic equation is... 30cosmxcxkxfwt + + = where, given parameters, 1m =, 0.3C =, 1.0k =, 1W =, the initial condition is (0) 3.0x =, (0) 4.0X = let the dynamic parameters of the system be F0, The bifurcation diagram of the system state variable changing with the parameter is drawn, and the time history diagram, phase trajectory diagram and Poincare map of the system cycle and chaotic state corresponding to the parameter are drawn p>