Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure and convergence of Poincare-like normal forms   The general term of the Poincare normalizing series is explicitly constructed
for non-resonant systems of ODE's in a large class of equations. In the
resonant case, a non-local transformation is found, which exactly linearizes
the ODE's and whose series expansion always converges in a finite domain.
Examples are treated.

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph