Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cowen-Douglas function and its application on chaos   In this paper, on $\mathbb{D}$ we define Cowen-Douglas function introduced by
Cowen-Douglas operator $M_\phi^*$ on Hardy space $\mathcal{H}^2(\mathbb{D})$
and we give a sufficient condition for Cowen-Douglas function, where
$\phi\in\mathcal{H}^\infty(\mathbb{D})$. Moreover, we give some applications of
Cowen-Douglas function on chaos, such as application on the inverse chaos
problem for $\phi(T)$, where $\phi$ is a Cowen-Douglas function and $T$ is the
backward shift operator on $\mathcal{L}^2(\mathbb{N})$.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph