【摘要】 应用平均法研究VanderPol Duffing方程的幅频响应特性 ,并通过奇异性理论分析其静态分叉现象。进一步的动态分叉研究对系统参数空间进行了划分 ,发现在不同的参数区域内 ,系统相空间具有完全不同的拓扑特性 ,并应用胞映射方法分析了特定参数区域内的多吸引子共存现象。更多还原

【Abstract】 By the averaging method, the frequency amplitude property of Van der Pol Duffing equation is analyzed, and the related static bifurcation phenomenon is studied by the theory of singularity. Further research on dynamical bifureation finds out that the system displays different phase space properties as the system parameters vary from one region to another. Meanwhile, coexistence of multiple attractors is analyzed with cell to cell mapping method.更多还原