2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227260We investigate a flat anisotropic (5+1)-dimensional cosmological model in the presence of the Gauss-Bonnet (GB) contribution in addition to usual Einstein term in the action. We compared it with (4+1)-dimensional case and found a substantial difference in corresponding cosmological dynamics. This difference is manifested in the probability of the model to have smooth transition from GB-term-dominated to Einstein-term-dominated phases--this probability in a reasonable measure on the initial condition space is almost zero for (4+1) case and about 60% for (5+1) case. We discuss this difference as well as some features of the dynamics of the considered model.9 pages with 3 eps figures; typos corrected, references added; final version to appear in MPLAGeneral Relativity and Quantum Cosmologytext