2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150598We prove the existence of fractal solutions to a class of linear ordinary differential equations.This reveals the possibility of chaos in the very short time limit of the evolution even of a linear one dimensional dynamical system.6 pages,Latex, submitted to Phys.Lett.A, email: dpd@nerist.ernet.inChaotic Dynamicstext