Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fidelity, entropy, and Poincar\'e sections as tools to study the polyad
  breaking phenomena   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 Poincar\'e sections detect the polyad
breaking process manifested in the transition from local to normal mode
behaviors. Additionally Poincar\'e sections show a transition to chaos where
the polyad cannot be defined.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph