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|<2, 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.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Share

COinS