#### Filter Results:

- Full text PDF available (8)

#### Publication Year

2007

2016

- This year (0)
- Last 5 years (6)
- Last 10 years (8)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

In this paper we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

- Joan C. Artés, Regilene D. S. Oliveira, Alex C. Rezende
- I. J. Bifurcation and Chaos
- 2016

The study of planar quadratic differential systems is very important not only because they appear in many areas of applied mathematics but due to their richness in structure, stability and questions concerning limit cycles, for example. Even though many papers have been written on this class of systems, a complete understanding of this family is still… (More)

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 given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some conditions… (More)

- Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
- I. J. Bifurcation and Chaos
- 2014

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 understanding of this family is still missing. Classical problems, and in particular, Hilbert’s 16th problem [Hilbert, 1900, Hilbert, 1902], are still open for this family. Our goal is to… (More)

We study germs of pairs of codimension one regular foliations in R. We show that the discriminant of the pair determines the topological type of the pair. We also consider various classifications of the singularities of the discriminant.

- H. Walther, Xiaobiao Lin, +72 authors Marian Wiercigroch
- 2011

of Talks In the multiple authors case, the name with ∗ is the speaker.

- Regilene D. S. Oliveira, Alex C. Rezende
- Applied Mathematics and Computation
- 2013

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 given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some conditions… (More)

- Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
- I. J. Bifurcation and Chaos
- 2013

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 understanding of this family is still missing. Classical problems, and in particular, Hilbert’s 16th problem [Hilbert, 1900, Hilbert, 1902], are still open for this family. In this article we… (More)

- ‹
- 1
- ›