# American Institute of Mathematical Sciences

December  2010, 3(4): 517-532. doi: 10.3934/dcdss.2010.3.517

## A geometric fractional monodromy theorem

 1 Department of Mathematics, University of Groningen, PO Box 407, 9700 AK, Groningen, Netherlands 2 Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom

Received  April 2009 Revised  May 2010 Published  August 2010

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.
Citation: Henk Broer, Konstantinos Efstathiou, Olga Lukina. A geometric fractional monodromy theorem. Discrete & Continuous Dynamical Systems - S, 2010, 3 (4) : 517-532. doi: 10.3934/dcdss.2010.3.517
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