Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Center manifolds for stochastic evolution equations   Stochastic invariant manifolds are crucial in modelling the dynamical
behavior of dynamical systems under uncertainty. Under the assumption of
exponential trichotomy, existence and smoothness of center manifolds for a
class of stochastic evolution equations with linearly multiplicative noise are
proved. The exponential attraction and approximation to center manifolds are
also discussed.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin