Ordinary differential equations
Dynamical systems and ergodic theory Quantum theory
Relativity and gravitational theory
Main publications:
J. Chavarriga, H. Giacomini, J. Giné, J. Llibre, “On the integrability of two-dimensional flows”, Journal of Differential Equations, 157:1 (1999), 163-182
J. Chavarriga, H. Giacomini, J. Giné, J. Llibre, “Darboux integrability and the inverse integrating factor”, Journal of Differential Equations, 194:1 (2003), 116-139
H. Giacomini, J. Giné, J. Llibre, “The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems”, Journal of Differential Equations, 227:2 (2006), 406-426