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Bifurcations of a parametrically excited oscillator with strong nonlinearity 总被引:4,自引:0,他引:4
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A parametrically excited oscillator with strong nonlinearity, including van der Pol and Duffing types, is studied for static bifurcations. The applicable range of the modified Lindstedt-Poincaré method is extended to 1/2 subharmonic resonance systems. The bifurcation equation of a strongly nonlinear oscillator, which is transformed into a small parameter system, is determined by the multiple scales method. On the basis of the singularity theory, the transition set and the bifurcation diagram in various regions of the parameter plane are analysed. 相似文献
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对一类电化学反应中的粒子扩散问题提出了一种差分解法。在一个实际例子的数值计算中,得到了电极表面的特质浓度降为零所需要的时间。 相似文献
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