Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar
  Piecewise Linear Hamiltonian differential System with Three Zones   In this paper, we study the number of limit cycles that can bifurcating from
a periodic annulus in discontinuous planar piecewise linear Hamiltonian
differential system with three zones separated by two parallel straight lines.
We prove that if the central subsystem, i.e. the system defined between the two
parallel lines, has a real center and the others subsystems have centers or
saddles, then we have at least three limit cycles that appear after
perturbations of periodic annulus. For this, we study the number of zeros of a
Melnikov function for piecewise Hamiltonian system and present a normal form
for this system in order to simplify the computations.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph