Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+i? resonance
Iooss, Gérard ; Lombardi, Eric
HAL, hal-00014723 / Harvested from HAL
Text on HAL
In this Note we explain how the normal form theorem already established (Iooss and Lombardi, J. Differential Equations, in press) for analytic vector fields with a semi-simple linearization enables to prove the existence of homoclinic connections to exponentially small periodic orbits for reversible analytic vector fields admitting a 02+i? resonance where the linearization is precisely not semi simple.
Publié le : 2004-07-05
Classification:  Ordinary Differential Equations/Dynamical Systems,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00014723,
     author = {Iooss, G\'erard and Lombardi, Eric},
     title = {Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+i? resonance},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00014723}
}

Iooss, Gérard; Lombardi, Eric. Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 02+i? resonance. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00014723/