A geometric fractional monodromy theorem

H. W. Broer, K. Efstathiou, O. V. Lukina (2010)
Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

Abstract

We prove the existence of fractional monodromy for two degree of freedom integrable Hamiltonian systems with one-parameter families of curled tori under certain general conditions. We describe the action coordinates of such systems near curled tori and we show how to compute fractional monodromy using the notion of the rotation number.

@article{2010_BEL_Geometric_Fractional_Monodromy,
 abstract = {We prove the existence of fractional monodromy for two degree of freedom integrable Hamiltonian systems with one-parameter families of curled tori under certain general conditions. We describe the action coordinates of such systems near curled tori and we show how to compute fractional monodromy using the notion of the rotation number.},
 author = {Broer, H. W. and Efstathiou, K. and Lukina, O. V.},
 doi = {10.3934/dcdss.2010.3.517},
 journal = {Discrete and Continuous Dynamical Systems - Series S (DCDS-S)},
 journalurl = {http://aimsciences.org/journals/dcdsS/},
 number = {4},
 pages = {517-532},
 title = {A geometric fractional monodromy theorem},
 volume = {3},
 year = {2010}
}