Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcation Study on a Degenerate Double van der Waals Cirque Potential
  Energy Surface using Lagrangian Descriptors   In this paper, we explore the dynamics of a Hamiltonian system after a double
van der Waals potential energy surface degenerates into a single well. The
energy of the system is increased from the bottom of the potential well up to
the dissociation energy, which occurs when the system becomes open. In
particular, we study the bifurcations of the basic families of periodic orbits
of this system as the energy increases using Lagrangian descriptors and
Poincar\'e maps. We investigate the capability of Lagrangian descriptors to
find periodic orbits of bifurcating families for the case of resonant,
saddle-node and pitchfork bifurcations.

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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom