4 papers
Infinitesimal Center Problem on zero cycles and the composition conjecture
A. Álvarez, J. L. Bravo, C. Christopher +1
We study the analogue of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is iden…
Poincaré compactification for non-polynomial vector fields
José Luis Bravo, Manuel Fernández, Antonio E. Teruel
In this work a theorical framework to apply the Poincaré compactification technique to locally Lipschitz continuous vector fields is developed. It is proved that these vectors fiel…
Uniqueness of Limit Cycles for Quadratic Vector Fields
José Luis Bravo, Manuel Fernández, Ignacio Ojeda +1
This article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as $x'= a_1 x…
On the trigonometric moment problem
Amelia Álvarez, José Luis Bravo, Colin Christopher
The trigonometric moment problem arises from the study of one-parameter families of centers in polynomial vector fields. It asks for the classification of the trigonometric polynom…