Licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 InternacionalAcosta-Humánez, P.Alvarez-Ramírez, M.Stuchi, T.J.2018-02-082018-02-082018-01-0915360040http://hdl.handle.net/20.500.12442/1725We show the nonintegrability of the three-parameter Armburster--Guckenheimer--Kim quartic Hamiltonian using Morales--Ramis theory, with the exception of the three already known integrable cases. We use Poincaré sections to illustrate the breakdown of regular motion for some parameter values.engHamiltonianIntegrability of dynamical systemsDiferential Galois theoryLegendre equationSchrodinger equationarticleinfo:eu-repo/semantics/openAccess