Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic, Quasi-Periodic, Almost Periodic, Almost Automorphic, Birkhoff
  Recurrent and Poisson Stable Solutions for Stochastic Differential Equations   The paper is dedicated to studying the problem of Poisson stability (in
particular stationarity, periodicity, quasi-periodicity, Bohr almost
periodicity, Bohr almost automorphy, Birkhoff recurrence, almost recurrence in
the sense of Bebutov, Levitan almost periodicity, pseudo-periodicity,
pseudo-recurrence, Poisson stability) of solutions for semi-linear stochastic
equation $$ dx(t)=(Ax(t)+f(t,x(t)))dt +g(t,x(t))dW(t)\quad (*) $$ with
exponentially stable linear operator $A$ and Poisson stable in time
coefficients $f$ and $g$. We prove that if the functions $f$ and $g$ are
appropriately "small", then equation $(*)$ admits at least one solution which
has the same character of recurrence as the functions $f$ and $g$.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn