Document Type
Article
Date of Original Version
2006
Abstract
We prove that all solutions to the nonlinear second-order difference equation in integers yn+1 = ⌈ay n ⌉-yn-1, {a ∈ ℝ:|a|a≠0,±1}, y0, y1 ∈ ℤ, are periodic. The first-order system representation of this equation is shown to have self-similar and chaotic solutions in the integer plane.
Citation/Publisher Attribution
Clark, D. (2006). Periodic solutions of arbitrary length in a simple integer iteration. Advances in Difference Equations, 2006, 1-9. Article ID: 35847. doi: 10.1155/ADE/2006/35847
Available at: https://doi.org/10.1155/ADE/2006/35847
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
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