Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multibump solutions of a class of second-order discrete Hamiltonian
  systems   For a class of second-order discrete Hamiltonian systems
$\Delta^2x(t-1)-L(t)x(t)+V'_x(t,x(t))=0$, we investigate the existence of
homoclinic orbits by applying variational method, where $L$ and $V(\cdot,x)$
are periodic functions. Further, we show that there exist either uncountable
many homoclinic orbits or multibump solutions under certain conditions.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio