Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Forced synchronization of an oscillator with a line of equilibria   The model of a non-autonomous memristor-based oscillator with a line of
equilibria is studied. A numerical simulation of the system driven by a
periodical force is combined with a theoretical analysis by means of the
quasi-harmonic reduction. Both two mechanisms of synchronization are
demonstrated: capture of the phase and frequency of oscillations and
suppression by an external signal. Classification of undamped oscillations in
an autonomous system with a line of equilibria as a special kind of
self-sustained oscillations is concluded due to the possibility to observe the
effect of frequency-phase locking in the same system in the presence of an
external influence. It is established that the occurrence of phase locking in
the considered system continuously depends both on parameter values and initial
conditions. The simultaneous dependence of synchronization area boundaries on
the initial conditions and the parameter values is also shown.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol