保真度、熵和庞加莱截面作为研究多面体断裂现象的工具
Fidelity, entropy, and Poincaré sections as tools to study the polyad breaking phenomena
摘要：
利用两个相互作用的Morse振子，分析了CO $_2$和H $_2$ O三原子分子伸缩模振动能谱的关联图.通过考虑的结构和力常数（$x_g=g^o_{rr'}/g^o_{rr}, x_f=f_{rr'}/f_{rr}$）从水参数的二氧化碳的线性依赖性，它示出的保真度，熵和庞加莱部分检测polyad打破过程中表现出从本地到正常模式行为的过渡。此外，庞加莱截面显示了一个过渡到混沌的polyad无法定义。
英文摘要：
The correlation diagram of the vibrational energy spectra associated with the stretching modes of triatomic molecules such as CO$_2$ and H$_2$O is analyzed by means of two interacting Morse oscillators. By considering a linear dependence of the structure and force constants ($x_g=g^o_{rr'}/g^o_{rr}, x_f=f_{rr'}/f_{rr}$) going from the water parameters to the carbon dioxide, it is shown that the fidelity, entropy and Poincaré sections detect the polyad breaking process manifested in the transition from local to normal mode behaviors. Additionally Poincaré sections show a transition to chaos where the polyad cannot be defined.
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