Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solution of stochastic resonance in the nonadiabatic regime   We generalize stochastic resonance to the nonadiabatic limit by treating the
double-well potential using two quadratic potentials. We use a singular
perturbation method to determine an approximate analytical solution for the
probability density function that asymptotically connects local solutions in
boundary layers near the two minima with those in the region of the maximum
that separates them. The validity of the analytical solution is confirmed
numerically. Free from the constraints of the adiabatic limit, the approach
allows us to predict the escape rate from one stable basin to another for
systems experiencing a more complex periodic forcing.

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org