Periods of a max-type equation

نویسندگان

چکیده

We consider the max-type equation $$x_{n+4}=\max\{x_{n+3},x_{n+2},x_{n+1},0\}-x_n,$$ with arbitrary real initial conditions. describe completely its set of periods $\mathrm{Per}(F_4)$, as well associate periodic orbits. also prove that there exists a natural number $N\notin\mathrm{Per}(F_4)$ for which $$\left\{N+m:m\geq 1,m\in\mathbb N\right\}\subset\mathrm{Per}(F_4).$$

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ژورنال

عنوان ژورنال: Journal of Difference Equations and Applications

سال: 2021

ISSN: ['1026-7042', '1563-5120', '1023-6198']

DOI: https://doi.org/10.1080/10236198.2021.2000971