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Existence of infinite non-Birkoff periodic orbits for area-preserving monotone twist maps of cylinders |
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| Authors: | CHENG Wei CHENG Chongqing |
| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, China |
| 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. |
| Keywords: | twist map Aubry-Mather theory minimal configuration relatively minimal configuration Peierls’ barrier non-Birkhoff periodic orbit |
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