2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115526A 3D nonlinear chaotic system, called the T system, is analyzed in this paper. Horseshoe chaos is investigated via the heteroclinic Shilnikov method constructing a heteroclinic connections between the saddle equilibrium points of the system. Partially numerical computations are carried out to support the analytical results.Dynamical Systemstext