【摘要】 本文用细致的数值研究证实,沿参数空间中某些方向,强迫布鲁塞尔振子周期解的出现顺序与一维单峰映象的普适序列(U序列)一致。我们给出了周期解与两个字母的符号动力学对应的简单方法,说明了此类研究中为看到分岔和混沌“谱”的整体结构,必须适当扩大参数空间。更多还原

【Abstract】 Detailed numerical study shows that along certain directions in the parameter space the periodicity of the forced Brusselator appears in the same order as that in one-dimensional nuimodal mappings, i.e. in accordance with the U-sequence of Metropolis, stein and Stein. We find a simple method to assign words from a symbolic dynamics of two letters to periods in the model. Our results show the neccesity to enlarge the parameter space in similar research ia order to have a global picture of the bifurcation and chaos "spectrum".更多还原