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5. Existence of infinite non-Birkhoff periodic orbits for area-preserving monotone twist maps of cylind

Existence of infinite non-Birkhoff periodic orbits for area-preserving monotone twist maps of cylind

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：jmdjy

【摘 要】

：

The exact monotone twist map of infinite cylinders in the Birkhoff region of instability is studied. A variational method based on Aubry-Mather theory is used t

【作 者】

：

程伟 程崇庆 

【机 构】

：

DepartmentofMathematics,NanjingUniversity,Nanjing210093,China,China

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2000年8期

【关键词】

：

twist map Aubry-Mather theory MINIMAL CONFIGURATION relatively MINIMAL CONFIGURA 

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The exact monotone twist map of infinite cylinders in the Birkhoff region of instability is studied. A variational method based on Aubry-Mather theory is used to discover infinitely many non-Birkhoff periodic orbits of fixed rotation number sufficiently c

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