A geometric fractional monodromy theorem

Henk Broer; Konstantinos Efstathiou; Olga Lukina

doi:10.3934/dcdss.2010.3.517

Article Contents

2010, Volume 3, Issue 4: 517-532. Doi: 10.3934/dcdss.2010.3.517

This issue Previous Article Preface Next Article Some KAM applications to Celestial Mechanics

A geometric fractional monodromy theorem

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

Received: March 31, 2009

Revised: April 30, 2010

Published: November 2010

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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.

Keywords:

Fractional monodromy,
integrable Hamiltonian systems.

Mathematics Subject Classification: 37J35, 70H06, 70H33.

Citation:

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