The authors consider a complex Hamiltonian map, and show how to approximate the critical value of the perturbation parameter at which a given KAM circle disappears by means of a function (the Brjuno function) which only depends on the continued fraction expansion of the rotation number.
Critical K.A.M. circles and the Brjuno function
MARMI, Stefano
1989
Abstract
The authors consider a complex Hamiltonian map, and show how to approximate the critical value of the perturbation parameter at which a given KAM circle disappears by means of a function (the Brjuno function) which only depends on the continued fraction expansion of the rotation number.File in questo prodotto:
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