Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Random Periodic Solutions of Random Dynamical Systems   In this paper, we first introduce the definition of weak random periodic
solutions of random dynamical systems. Then, we discuss the existence of such
periodic solutions. We use concrete examples to illustrate the weak random
periodic phenomena of dynamical systems induced by random and stochastic
differential equations. Further, we introduce the definition of weak random
periodic measures and study their relationship with weak random periodic
solutions. In particular, we establish the existence of invariant measures of
random dynamical systems by virtue of their weak random periodic solutions.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat