On the Dynamics of Some Three-Dimensional Systems of Difference Equations

This paper looks into the dynamics of nonlinear systems of difference equations, with particular emphasis on fourth-order cases. Analytical solutions are derived for some cases of systems, a tedious task due to the lack of explicit mathematical techniques for their solution. In addition, the qualitative properties of the solutions, such as boundedness and periodicity, are analyzed through theoretical methods and numerical simulations. The results advance our understanding of nonlinear systems, providing important implications for their use in various scientific fields.