Mathieu系统的分岔条件及仿真研究

Simulation and research on bifurcation condition of Mathieu system

分岔是非线性系统的一种复杂的行为模式 ,它是非线性系统结构不稳定的一种表现 从结构的对称性分析入手 ,通过对Mathieu系统的分岔方程的推导 ,得出了该系统分岔的充分条件 ,并进行了仿真研究 仿真结果表明 ,该系统的分岔条件是合适的 图 4 ,参

The bifurcation representing instability in construction is a complicated conduct model of the non-linear system. This paper first analyses symmetry property of the Mathieu system; then inquires into the equations and the conditions of bifurcation; final simulates this bifurcation condition by Matlab. The simulation result proves that the condition of bifurcation is suitable.4figs.,3refs.