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Majorant series convergence for twistless KAM tori†

Published online by Cambridge University Press:  14 October 2010

Giovanni Gallavotti  and
Guido Gentile
Giovanni Gallavotti
Affiliation:
Dipartimento di Fisica, Università di Roma, ‘La Sapienza’, P.le Moro 2, 00185 Roma, Italia (email: gallavotti%40221. hepnet@lbl.gov, gentileg%39943.hepnet@lbl.gov)
Guido Gentile
Affiliation:
Dipartimento di Fisica, Università di Roma, ‘La Sapienza’, P.le Moro 2, 00185 Roma, Italia (email: gallavotti%40221. hepnet@lbl.gov, gentileg%39943.hepnet@lbl.gov)
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Abstract

A self-contained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ‘strong diophantine property’ hypothesis used previously.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 5 , October 1995 , pp. 857 - 869
Copyright
Copyright © Cambridge University Press 1995

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References

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