Key points are not available for this paper at this time.
Discrete-time systems are sometimes used to explain natural phenomena that happen in nonlinear sciences. We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations in this paper. Using the standard iteration method, exact solutions are obtained. Some well-known theorems are used to test the stability of the equilibrium points. Some numerical examples are also provided to confirm the theoretical work’s validity. The numerical component is implemented with Wolfram Mathematica. The method presented may be simply applied to other rational recursive issues. In this paper, we explore the dynamics of adhering to rational difference formula equation* x₍+₁=x₍-₂₉1 x₍-₅x₍-₁₁x₍-₁₇x₍-₂₃x₍-₂₉, equation* where the initials are arbitrary nonzero real numbers.
Oğul et al. (Wed,) studied this question.