Additional
files for
the
articles
Global configurations of
singularities of quadratic differential systems
Joan C. Artés, Jaume Llibre, Alex C. Rezende, Dana Schlomiuk, Nicolae Vulpe
In this family of papers we classify all configurations of finite and infinite singularities of quadratic differential systems, with respect to the geometric equivalence relation. The notion of the geometric equivalence relation of configurations of singularities allows us to incorporate all the important geometric features which can be expressed in purely algebraic terms, for instance the distinction between a focus and a node.
For this classification we use the notion of invariant and comitant polynomials which is described in the articles. For the reader's reference, we provide here a set of Mathematica files which allows to verify all the mathematical proves in the articles.
We also provide here a Mathematica file containing all the examples for each of the studied classes.
We
do not
add
here
the
papers
due
to
the
copyright, but
we
place only
the
extra files in the
original form
(Mathematica) with
some
helpful
comments.
The
original form
is
given
in zipped
form
to
reduce space.
Please
note that
some
of the
files are very
large
and may
take
a lot
of time to
download.
They
are consequently
even
bigger
once unzipped.
We
have
added
the
size
of the
files both
zipped
and unzipped
so to
warn
you
before
downloading them.
Mathematica
file (invariants)
containing all the need formulas for the invariants
(508Kb/7.781Kb)
The table below presents a set of files refering to the examples for each family of quadratic differential systems split into the configuration of the finite singularities.
| Finite multiplicity | Configuration of the finite singularities | Link |
| 0 | - | Mathematica file (14Kb/274Kb) |
| 1 | p | Mathematica file (20Kb/444Kb) |
| 2 | p+q | Mathematica file (50Kb/1.409Kb) |
| 2 | 2p | Mathematica file (14Kb/281Kb) |
| 2 | pc+qc | Mathematica file (10Kb/137Kb) |
| 3 | 3p | Mathematica file (9Kb/165Kb) |
| 3 | 2p+q | Mathematica file (22Kb/599Kb) |
| 3 | p+qc+rc | Mathematica file (32Kb/767Kb) |
| 3 | p+q+r | Mathematica file (104Kb/2.261Kb) |
| 4 | 4p | Mathematica file (15Kb/256Kb) |
| 4 | 3p+q | Mathematica file (52Kb/1.624Kb) |
| 4 | 2p+2q | Mathematica file (18Kb/326Kb) |
| 4 | 2pc+2qc | Mathematica file (11Kb/171Kb) |
| 4 | 2p+qc+rc ( under work) | Mathematica file (--Kb/--Kb) |
| 4 | 2p+q+r ( under work) | Mathematica file (--Kb/--Kb) |
| 4 | pc+qc+rc+sc ( under work) | Mathematica file (--Kb/--Kb) |
| 4 | p+q+rc+sc ( under work) | Mathematica file (--Kb/--Kb) |
| 4 | p+q+r+s ( under work) | Mathematica file (--Kb/--Kb) |
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