J. Torregrosa

activity

20102016

most citedUpper bounds for the number of zeroes for some Abelian integrals

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2016

The number of polynomial solutions of polynomial Riccati equations

Armengol Gasull, Joan Torregrosa, Xiang Zhang

Consider real or complex polynomial Riccati differential equations $a (x) y ˙ = b_{0} (x) + b_{1} (x) y + b_{2} (x) y^{2}$ with all the involved functions being polynomials of degree at most $η$ . W…

math.DS2013★ 1 cited

A proof of Perko's conjectures for the Bogdanov-Takens system

Armengol Gasull, Hector Giacomini, Set Perez-Gonzalez +1

The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove…

math.DS2010★ 1 cited

Upper bounds for the number of zeroes for some Abelian integrals

Armengol Gasull, J. Tomás Lázaro, Joan Torregrosa

Consider the vector field $x^{'} = - y G (x, y), y^{'} = x G (x, y),$ where the set of critical points ${G (x, y) = 0}$ is formed by $K$ straight lines, not passing through the origin and paral…