27 citations · 34 across the 3 of their papers we have counts for
3 papers
math.MG2005★ 6 cited
Greatest least eigenvalue of the Laplacian on the Klein bottle
Ahmad El Soufi, Hector Giacomini, Mustapha Jazar
We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric on the Klein bottle one has $…
math.CA2005★ 1 cited
Explicit non-algebraic limit cycles for polynomial systems
Armengol Gasull, Hector Giacomini, Joan Torregrosa
We consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y), where P_n(x,y), Q_n(x,y) and R_m(x,y) are homogeneous polynomials of degrees n, n and m, respectively…
math.DS2005★ 27 cited
On the stability of limit cycles for planar differential systems
Hector Giacomini, Maite Grau
We consider a planar differential system , , where and are functions in some open set $\mathcal{U} \subseteq \mathbb{R}^2…