Fluctuation properties of a \( SU(1,1)\) -based transitional Hamiltonian in the \( U(5)\leftrightarrow SO(6)\) transitional region are considered in the nearest-neighbor spacing statistics. Energy spectra are determined via the Bethe-Ansatz method, which contains an extraction of Hamiltonian parameters from the experimental data of nuclei-provided empirical evidences for the considered region. Our results suggest an approach to chaotic dynamics for the transitional region in comparison with both dynamical symmetry limits in sequences prepared by theoretical and experimental data. Also, nuclei which are known as the best candidates for the E(5) critical symmetry exhibit more regularity compared to other nuclei in the transitional region.