On the measure of KAM tori in two degrees of freedom

Luca Biasco; Luigi Chierchia

doi:10.3934/dcds.2020134

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2020, Volume 40, Issue 12: 6635-6648. Doi: 10.3934/dcds.2020134

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On the measure of KAM tori in two degrees of freedom

Luca Biasco and
Luigi Chierchia

Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San L. Murialdo 1 - 00146 Roma, Italy

Received: July 31, 2019

Revised: October 31, 2019

Early access: February 2020

Published: August 2020

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Abstract

A conjecture of Arnold, Kozlov and Neishtadt on the exponentially small measure of the "non-torus" set in analytic systems with two degrees of freedom is discussed.

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Mathematics Subject Classification: 37J40, 70H08.

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References

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