Additional files for the article
Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection
Joan C. Artés
This paper is part of a series of works whose ultimate goal is the
complete classification of phase portraits of quadratic differential
systems in the plane modulo limit cycles. It is estimated that the
total number may be around 2000, so the work to find them all must
be split in different papers in a systematic way so to assure the
completeness of the study and also the non intersection among them.
In this paper we classify the family of phase portraits possessing
one finite saddle-node and a separatrix connection and determine
that there are a minimum of 77 topologically different phase
portraits plus at most 16 other phase portraits which we conjecture
to be impossible. Along this paper we also deploy a mistake in the
book \cite{Art-Llib-Rez:2018}.
We do not add here the paper due to the copyright, but we place only the abstract and the extra files. The files are given in zipped form to reduce space.
P4 files SU1 containing all the examples of codimension 1 phase portraits.
For using the eamples of this file, one need to have instaled the program P4 mentioned in this web page and introduced in the book by Dumortier, Llibre and Artes.
P4 files SU2AD containing all the examples of codimension 2 phase portraits of the class (AD).
