Ibrahim, Tarek FawziŞimşek, DağıstanOğul, Burak2023-08-032023-08-0320231694-7398https://doi.org/10.51354/mjen.1233063https://search.trdizin.gov.tr/yayin/detay/1185327https://hdl.handle.net/20.500.13091/4495We explore the dynamics of adhering to rational difference formula $ psi_{m+1} =frac{ psi_{m-20}}{pm 1pm psi_{m-2}psi_{m-5}psi_{m-8}psi_{m-11}psi_{m-14}psi_{m-17}psi_{m-20}}, min mathbb{N}_{0}$ where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases.eninfo:eu-repo/semantics/openAccessArticle10.51354/mjen.1233063