ABSTRACT
This chapter explains numerous periodic traits of the mth-order Autonomous Riccati Difference Equation and examines the periodic features of Difference Equation. The chapter examines the periodic traits of the mth-order Non-Autonomous Riccati Difference Equation. It is our goal to depict the assortment of combinations of the periodic patterns depending on the period of the period-k sequence and on the relationship of the sequence's terms. Now the authors will advance with investigating the periodic traits of Difference Equation. The upcoming theorem will generalize the periodic traits of Difference Equation. The succeeding Theorem will extend the periodic features of Difference Equation. The chapter explains the assembly of Max-Type Difference Equations as combinations of Autonomous and Non-Autonomous Riccati Difference Equations and encounter various periodic and eventually periodic cycles. It describes the variety of combinations of the periodic patterns depending on the period of the period sequence and on the arrangement of the sequence’s terms.
