Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronous oscillations and symmetry breaking in a model of two
  interacting ultrasound contrast agents   We study nonlinear dynamics in a system of two coupled oscillators,
describing the motion of two interacting microbubble contrast agents. In the
case of identical bubbles, the corresponding symmetry of the governing system
of equations leads to the possibility of existence of asymptotically stable
synchronous oscillations. However, it may be difficult to create absolutely
identical bubbles and, moreover, one can observe in experiments regimes that
are unstable with respect to perturbations of equilibrium radii of bubbles.
Therefore, we investigate the stability of various synchronous and asynchronous
dynamical regimes with respect to the breaking of this symmetry. We show that
the main factors determining stability or instability of a synchronous
attractor are the presence/absence and the type of an asynchronous attractor
coexisting with the synchronous attractor. On the other hand, asynchronous
hyperchaotic attractors are stable with respect to the symmetry breaking in all
the situations we have studied. Therefore, they are likely to be observed in
physically realistic scenarios and can be beneficial for suitable applications
when chaotic behavior is desirable.

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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci