【摘要】 运用分岔图、相图、Poincare截面图、快速傅里叶变换(FFT)图、最大Lyapunov指数图、吸引域等各种数值方法,研究了Duffing-Van Der Pol振子在参数激励下的一系列动力学行为,揭示了该系统复杂的分岔、混沌现象.通过共存时吸引子及相应吸引域的变化,研究了混沌吸引子的形成与激变.更多还原

【Abstract】 The dynamics behavior of the Duffing-Van Der Pol oscillator under parametric excitation was researched by bifurcation diagram,phase diagram,Poincare diagram,FFT diagram,maximum Lyapunov diagram,attraction domain diagram and other numerical analysis.The complex phenomenon of bifurcation and chaos in the system was observed.The formation and crisis of the chaos attractor were studied by the changes of the coexisted attractors and corresponsing attraction domain in the system.更多还原