The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order
Abstract
We explore the dynamics of adhering to rational difference formula
$$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$
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.
Keywords
Equilibrium point, solution of difference equation, stability, boundedness, global asymptotic stability
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