A geometric fractional monodromy theorem | Zendy

Henk Broer | Zendy; Konstantinos Efstathiou | Zendy; Olga Lukina | Zendy

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A geometric fractional monodromy theorem

Author(s) -

Henk Broer,

Konstantinos Efstathiou,

Olga Lukina

Publication year - 2010

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2010.3.517

Subject(s) - monodromy , integrable system , mathematics , torus , monodromy matrix , hamiltonian system , pure mathematics , action (physics) , mathematical analysis , geometry , physics , quantum mechanics , eigenvalues and eigenvectors

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.

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