FM 97-5

Author: G. Gallavotti

Title: Analyticity in the coupling constant of quasi
periodic motions in smooth nonanalytic systems

Abstract: Solutions of the Hamilton--Jacobi equation for
integrating a nonanalytic perturbation of an integrable
system can be analytic in the perturbation coupling
constant even though the perturbation itself is non
analytic.

Comments: Text of the conference at the M-Phi conference 
in Brisbane, july 1997.

Keywords: KAM, Hamilton-Jacobi equation, implicit
functions


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