2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57039The classical Hamilton equations are reinterpreted by means of complex analysis, in a non standard way. This suggests a natural extension of the Hamilton equations to the quaternionic case, extension which coincides with the one introduced in [math-ph/0204019] by a completely different approach.AMS-LaTeXMathematical PhysicsDynamical Systems30G35, 70H05text