Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a perturbation theory of Hamiltonian systems with periodic
  coefficients   A theory of rank $k\ge 2$ perturbation of symplectic matrices and Hamiltonian
systems with periodic coefficients using a base of isotropic subspaces, is
presented. After showing that the fundamental matrix ${\displaystyle
\left(\widetilde{X}(t)\right)_{t\ge 0}}$ of the rank $k$ perturbation of
Hamiltonian system with periodic coefficients and the rank $k$ perturbation of
the fundamental matrix ${\displaystyle \left(X(t)\right)_{t\ge 0}}$ of the
unperturbed system are the same, the Jordan canonical form of ${\displaystyle
\left(\widetilde{X}(t)\right)_{t\ge 0}}$ is given. Two numerical examples
illustrating this theory and the consequences of rank $k$ perturbations on the
strong stability of Hamiltonian systems were also given.

35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
1
The categories of this paper are: cs