We explore the dynamics of adhering to rational difference formula
\begin{equation*}
\Psi_{m+1}=\frac{\Psi_{m-3}\Psi_{m-5}}{\Psi_{m-1} \left( \pm1\pm \Psi_{m-3}\Psi_{m-5} \right) } \quad m \in \mathbb{N}_{0}
\end{equation*}
where the initials $\Psi_{-5}$, $\Psi_{-4}$, $\Psi_{-3}$,$\Psi_{-2}$, $\Psi_{-1}$, $\Psi_{0}$ are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. We also give examples and solution diagrams for certain particular instances.
Boundedness Equilibrium point Global asymptotic stability Solution of difference equation Stability
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2023 |
Gönderilme Tarihi | 12 Ocak 2023 |
Kabul Tarihi | 29 Mayıs 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 2 |
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