Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the transformations linearizing isochronous centers of Hamiltonian
  systems   In this paper we study the transformations linearizing isochronous centers of
planar Hamiltonian differential systems with polynomial Hamiltonian functions
$H(x,y)$ having only isolated singularities. Assuming the origin is an
isochronous center lying on the level curve $L_0$ defined by $H(x,y)=0$, we
prove that, there exists a canonical linearizing transformation analytic on a
simply-connected open set $\Omega$ with closure
$\overline{\Omega}=\mathbb{R}^2$, if and only if,
  $L_0$ consists of only isolated points; furthermore, if the origin is the
unique center, then the condition that $L_0$ consists of only isolated points
implies that the corresponding canonical linearizing transformation can be
analytically defined on the whole plane.

19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th