非自治系统的F-灵敏度研究
Exploring F-Sensitivity for Non-Autonomous Systems
摘要：
本文研究了非自治离散动力系统的一些更强形式的灵敏度，即F-灵敏度和弱F-灵敏度。我们得到了这两种形式的灵敏度等价的条件。我们还通过例子证明了F-灵敏度与其他一些更强形式的灵敏度之间的区别。研究了非自治系统（X，f 1;无穷大）与自治系统（X，f）的F-灵敏度之间的关系，其中fn是一致收敛到f的连续函数序列.我们还研究了由有限族映射F = f1，f2，：，fk生成的非自治系统（X，f1;无穷大）的F-敏感性，并给出了一个例子，表明即使族F中没有映射是F-敏感的，这种非自治系统也可以是F-敏感的。
英文摘要：
We study some stronger forms of sensitivity, namely, F-sensitivity and weakly F-sensitivity for non-autonomous discrete dynamical systems. We obtain a condition under which these two forms of sensitivity are equivalent. We also justify the difference between F-sensitivity and some other stronger forms of sensitivity through examples. We explore the relation between the F-sensitivity of the non-autonomous system (X, f1;infinity) and autonomous system (X, f), where fn is a sequence of continuous functions converging uniformly to f. We also study the F-sensitivity of a non-autonomous system (X, f1;infinity), generated by a finite family of maps F = f1, f2, : : : , fk and give an example showing that such non-autonomous systems can be F-sensitive, even when none of the maps in the family F is F-sensitive.
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。
