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arXiv 2501.09463nlin.SImath.CA
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关于p为任意正整数时简单非线性递推式$y(\ell + 1) = [1-y(\ell)]^p$的若干性质

Some properties of the simple nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ with $p$ an arbitrary positive integer

Francesco Calogero

AI总结:

该研究探讨了p为任意正整数的简单非线性递推式$y(\ell + 1) = [1-y(\ell)]^p$的性质,指出其解的行为易于确定。

摘要:

研究表明,非线性递推式$y(\ell + 1) = [1-y(\ell)]^p$(其中因变量$y(l)$为实数,自变量$\ell=0,1,2\dots$,$p$为任意正整数)的解的行为是易于确定的。

英文摘要:

It is shown that the behavior of the solutions of the nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ -- where the dependent variable $y(l)$ is a real number, $\ell= 0; 1; 2...$ is the independent variable, and $p$ is an arbitrary positive integer -- is easily ascertainable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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