17 citations · 30 across the 4 of their papers we have counts for
4 papers · 1 filter
Phase portraits for quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle
Joan C. Artés, Marcos C. Mota, Alex C. Rezende
This paper presents a global study of the class of all real quadratic polynomial differential systems possessing exactly one elemental infinite singular poin…
The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (A,B)
Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
The goal is to make a global study of the family QsnSN of all real quadratic polynomial differential systems which have a finite semi-elemental saddle-node and an infinite saddle-n…
Global phase portraits of quadratic polynomial differential systems with a semi-elemental triple node
Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understandin…
Global phase portrait of a SIS model
Regilene D. S. Oliveira, Alex C. Rezende
In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a giv…