TITLE:
Singular splitting of separatrices for the perturbed McMillan map

AUTHORS:
Amadeu Delshams, Rafael Ramirez-Ros

Departament de Matematica Aplicada I 
Universitat Politecnica de Catalunya
Diagonal 647, 08028 Barcelona, Spain
E-mails: Amadeu.Delshams@upc.edu, rafael@vilma.upc.edu

ABSTRACT:
In this communication we review the difficult analytical and numerical
problems that arise in the computation of the exponentially small
splitting of separatrices of a general twist perturbation
of the McMillan map.

KEYWORDS:
Area-preserving map, singular separatrix splitting, Melnikov method,
numerical experiments

MSC numbers: 34C37, 34E05, 34E15, 65L12