Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of frequency and phase synchronization in a rocked bistable
  stochastic system   We investigate the role of noise in the phenomenon of stochastic
synchronization of switching events in a rocked, overdamped bistable potential
driven by white Gaussian noise, the archetype description of Stochastic
Resonance. We present a new approach to the stochastic counting process of
noise-induced switching events: starting from the Markovian dynamics of the
nonstationary, continuous particle dynamics one finds upon contraction onto two
states a non-Markovian renewal dynamics. The output frequency is determined as
the velocity of the underlying discrete phase dynamics. The phenomenon of
noise-assisted phase synchronization is investigated in terms of an effective,
instantaneous phase diffusion. The theory is applied to rectangular-shaped
rocking signals versus increasing input-noise strengths. Precise numerical
simulations corroborate very favorably our analytical results. The novel
theoretical findings are also compared with prior findings.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex