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引用次数: 3
摘要
我们证明了在任何封闭曲面的解析交映衍射中，混沌行为（正度量熵）和椭圆行为（可内卷的 KAM 岛）是共存的。特别是，这解决了 F. Przytycki（1982 年）提出的一个问题。
Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface
We show the coexistence of chaotic behaviors (positive metric entropy) and elliptic behaviors (intregrable KAM island) among analytic, symplectic diffeomorphism of any closed surface. In particilar this solves a problem by F. Przytycki (1982).
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