Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 54, pp. 1-17.

Title: The first step normalization for hamiltonian systems with two
       degrees of freedom over orbit cylinders
   
Authors: Guillermo Davila-Rascon (Univ. de Sonora, Hermosillo, Mexico)
         Yuri Vorobiev           (Univ. de Sonora, Hermosillo, Mexico)

Abstract:
 The near integrability property is studied for a class of perturbed
 Hamiltonian systems with two degrees of freedom on a phase space whose
 symplectic form depends non-uniformly on a small parameter.
 
Submitted July 22, 2008. Published April 17, 2009.
Math Subject Classifications: 37J05, 37J35, 37J40.
Key Words: Perturbed Hamiltonian system; nearly integrable system;
           orbit cylinder; Liouville tori; quasi-periodic motion;
           action-angle variables; near identity transformation; 
	   time-1 flow.