曲面上的非自治曲线
Non-autonomous curves on surfaces
摘要：
考虑具有两个适当嵌入的哈密顿同位素曲线$L$和$L'$的辛曲面$Σ$。假设$g \in Ham (Σ)$是一个Hamilton同构，它将$L$发送到$L'$。$(L, L')$对可以检测$g$的哪些动力学性质？我们讨论了两种情况下，人们可以推断，$g$是“混沌”：非自治的，甚至是正熵。
英文摘要：
Consider a symplectic surface $Σ$ with two properly embedded Hamiltonian isotopic curves $L$ and $L'$. Suppose $g \in Ham (Σ)$ is a Hamiltonian diffeomorphism which sends $L$ to $L'$. Which dynamical properties of $g$ can be detected by the pair $(L, L')$? We discuss two cases where one can deduce that $g$ is `chaotic': non-autonomous or even of positive entropy.
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。
