| 摘要: |
| 考虑无理函数$f(x) = \sqrt {{x^3} + d{x^2}} $，对任意$x \in R$，若对任意$n \in N,{f^n}(x)$有定义，则$\mathop {\lim }\limits_{n \to \infty } {f^n}(x)$为+∞或为某不动点，并详细讨论了该性质. |
| 关键词: 无理函数 吸引不动点 轨道 极限 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.005 |
| 分类号:O19 |
| 基金项目:国家自然科学基金(2071018) |
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| Dynamical system characterization of one kind of irrational functions |
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WANG Xiaoji, SU Xiaomin, HE Baolin
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Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| Consider irrational functions $f(x) = \sqrt {{x^3} + d{x^2}} $， for any $x \in R$， if for any $n \in N,{f^n}(x)$ is defined， then $\mathop {\lim }\limits_{n \to \infty } {f^n}(x)$ is +∞ or a fixed point， and study this property in details. |
| Key words: irrational function attracting fixed point orbit limit |
