Integrability,
Bifurcation,
Quantum theory,
Relativity and gravitational theory.
Subject:
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
Jaume Giné, Jaume Llibre, “Criteria for the nonexistence of periodic orbits in planar differential systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023, no. 1, 3–7
2018
2.
Jaume Gine, Jaume Llibre, “On the mechanisms for producing linear type centers in polynomial differential systems”, Mosc. Math. J., 18:3 (2018), 409–420