Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and stability of a discrete breather in a harmonically excited
  chain with vibro-impact on-site potential   We investigate the existence and stability of discrete breathers in a chain
of masses connected by linear springs and subjected to vibro-impact on-site
potentials. The latter are comprised of harmonic springs and rigid constraints
limiting the possible motion of the masses. Local dissipation is introduced
through a non-unit restitution coefficient characterizing the impacts. The
system is excited by uniform time-periodic forcing. The present work is aimed
to study the existence and stability of similar breathers in the space of
parameters, if additional harmonic potentials are introduced.
Existence-stability patterns of the breathers in the parameter space and
possible bifurcation scenarios are investigated analytically and numerically.
In particular, it is shown that the addition of harmonic on-site potential can
substantially extend the stability domain, at least close to the anti-continuum
limit. This result can be treated as an increase in the robustness of the
breather from the perspective of possible practical applications.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio