On the Dynamics of a Class of Third-Order Polynomial Difference Equations with Infinite Number of Period-Three Solutions

Jasmin Bektešević, Vahidin Hadžiabdić,
Midhat Mehuljić, Sadjit Metović, Haris Lulić
University of Sarajevo (Bosnia and Herzegovina)

https://doi.org/10.53656/math2023-5-2-ont

Abstract. We study the local dynamics and global character of third-order polynomial difference in the first octant of initial conditions with infinite number of prime period-three solutions (three cycles). It is also presented the case when the observed difference equation may be extended to the whole ℝ.
Keywords: basins of attraction; difference equation; equilibrium; stability; period-three solution

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