  We use the Melnikov method to identify chaotic behavior in geodesic motion
perturbed by the minimal length effects around a Schwarzschild black hole.
Unlike the integrable unperturbed geodesic motion, our results show that the
perturbed homoclinic orbit, which is a geodesic joining the unstable circular
orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic
structure is present in phase space.
