3 citations · 4 across the 4 of their papers we have counts for
5 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…
Local Integrability and Linearizability of Three-dimensional Lotka-Volterra Systems
Waleed Aziz, Colin Christopher
We investigate the local integrability and linearizability of three dimensional Lotka-Volterra equations at the origin. Necessary and sufficient conditions for both integrability a…
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…
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point
Colin Christopher, Christiane Rousseau
In this paper we describe the moduli space of germs of generic families of analytic diffeomorphisms which unfold a parabolic fixed point of codimension 1. In [MRR] (and also [R]),…
Monodromy and Tangential Center Problems
Colin Christopher, Pavao Mardešić
We consider families of Abelian integrals arising from perturbations of planar Hamiltonian systems. The tangential center focus problem asks for the conditions under which these in…