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Global Behavior of an Eighth‐Order Nonlinear Recursive Sequence

Murdhy A. Aldawsari, Fayzah Awad Alshehri, Walid Refai, Atef Ismail, Abo-Zeid Raafat

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Source: Crossref

Published: Jan 1, 2026

DOI: 10.1155/jom/5406944

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Source abstract

In this paper, we apply the similarity method to a nonlinear recursive sequence of order eight, where the parameters are nonzero real number sequences with real initial values. We derive Lie symmetry generators of the recursive sequence and derive a formula to its well‐defined solutions. We study the global behavior of its solutions, and finally, we introduce the forbidden set of that recursive sequence.

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