Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finding NHIM in 2 and 3 degrees-of-freedom with H\'enon-Heiles type
  potential   We present the capability of Lagrangian descriptors for revealing the high
dimensional phase space structures that are of interest in nonlinear
Hamiltonian systems with index-1 saddle. These phase space structures include
normally hyperbolic invariant manifolds and their stable and unstable
manifolds, and act as codimenision-1 barriers to phase space transport. The
method is applied to classical two and three degrees-of-freedom Hamiltonian
systems which have implications for myriad applications in physics and
chemistry.

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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an