Guillermo Davila-Rascon, Yuri Vorobiev
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.
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Guillermo Dávila-Rascón Departamento de Matemáticas Universidad de Sonora, Rosales y Blvd. Luis Encinas Hermosillo, Sonora, 83000, Mexico email: davila@gauss.mat.uson.mx |
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Yuri Vorobiev Departamento de Matemáticas Universidad de Sonora, Rosales y Blvd. Luis Encinas Hermosillo, Sonora, 83000, Mexico email: yurimv@guaymas.uson.mx |
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