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

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【作者】 程伟程崇庆

【Author】 CHENG Wei & CHENG ChongqingDepartment of Mathematics, Nanjing University, Nanjing 210093, China

【机构】 Department of MathematicsNanjing UniversityNanjing 210093ChinaChina

【摘要】 <正> 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 close to some irrational number for which the angular invariant circle does not exist.

【Abstract】 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 close to some irrational number for which the angular invariant circle does not exist.

  • 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2000年08期
  • 【分类号】O157.5
  • 【被引频次】3
  • 【下载频次】30
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