2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118213We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitation term. Using effective Hamiltonian we have examined homoclinic orbits and cross-sections of stable and unstable manifolds which gave the condition of transition to chaos through a homoclinic bifurcation.16 pages, 9 figuresChaotic Dynamicstext